I have a similar travel set from W & N (https://www.amazon.com/Winsor-Newton-Cotman-Sketchers-14-Pieces/dp/B00004THXI/) and I've been very happy with it. Just keep in mind that since the pallet is limited, you'll be doing a lot of mixing. I also use watercolor pencils and often mix them together.
That looks like a good set, but it might be a bit much for a beginner. I would suggest this set:
https://www.amazon.com/dp/B00004THXI/ref=dp_iou_view_product?ie=UTF8&psc=1
It's a lot cheaper. You have two reds, two yellows, two blues, two greens, a couple of earth tones, and black and white (which you really won't need, but some people like to have anyway).
You can mix just about any color you want from these.
My wife has this set, and I wish I had started with it, too. It's a very nice beginner set.
When I felt lost, when my son was about 3, I read The Miracle Morning. It got me started on a morning ritual of reading, journaling and watercoloring before my son would wake up. It all went out the window with pregnancy fatigue, but I'm counting the days until baby finds her regular nap pattern and I can go back to waking early.
It's not a tangible, but I just started the ($5/mo) Momma Strong workout subscription. It's so great! When baby wakes up at 6:30, I make coffee, then head to her room with the laptop and yoga mat to do my 15min exercise of the day before my son wakes up. I'm only a week in but feel so much better lately.
May I suggest starting watercoloring? It's way easier than you'd think, and mid-range supplies aren't that expensive. YouTube has so many wonderful tutorials, especially the Let's Make Art channel. She's sweet and fun and explains things really well. It doesn't take long to feel like you're making progress.
Some paints: https://www.amazon.com/dp/B00004THXI?ref=ppx_pop_mob_ap_share
Brushes: https://www.amazon.com/dp/B01IQFDF98/ref=cm_sw_r_cp_apa_i_tWzlFbYW4XB7F
And paper: https://www.amazon.com/dp/B01G2IIZN2/ref=cm_sw_r_cp_apa_i_iXzlFb1J5MM4A
Do you journal? Interested in starting? I really enjoy having a nice fountain pen (also easier to use than I expected): https://www.amazon.com/dp/B015EXS130?ref=ppx_pop_mob_ap_share
When I started I got a set of Winsor and Newton Cotman colours...
The Cotman sets are student quality rather than artists quality but they gave me a really good grounding in how to use watercolour. After about a year I moved on to W&N Artist Quality. The set I've linked comes with a small palette and a brush. In addition to that I'd get a flat brush and maybe one other round brush a bit bigger that the one supplied. The only other thing you need is water and some kitchen towel.
I hope this helps!
I don't have a lot of experience with watercolors so I'm probably not the best person to ask, but I did notice u/Anila_Tac (hope you don't mind I tagged you) posts weekly watercolour tips so maybe get in touch with her or look out for her posts. Visiting r/watercolor might also be worth a try.
I think it's safe to just search for "watercolour paper" on Amazon and choose from the results (do look at the reviews, of course). Since you're starting out, the "best" paper is whatever gets you to practice a lot, so the cheap stuff will do. You likely won't be able to tell the difference between the basic and "professional"-level materials at this point, or make full use of its potential, so don't stress about getting the "best". Just doing a search here, some of the results show up some brands I can recognise, like Canson XL or Strathmore - those should be fairly safe if you're unsure of what to get. As for paint... I saw that Winsor & Newton sells this: https://www.amazon.com/dp/B00004THXI
That looks like a good starter set, and you could move on to tubes later once you have more experience. (You might prefer a different brush than the one that comes with it though, but just try it out first.)
This article might also help explain some of the terms and properties of watercolour paper: https://www.art-is-fun.com/watercolor-paper/
This is a great set for a beginner. My wife has one and has used it for years. Just get some good paper to go with it and a brush you like, and you're all set!
between those two, i support the cotman.
HOWEVER, please consider the white nights set. i dont have this myself but it's a palette i've had on my list for several months now. it's the same price but the white nights is artist-grade (professional) paint. also, this Schpirr Farben set is also artist-grade. i also don't have this myself but is on my list. you can find reviews on youtube.
PM me if you're interested in my in depth review of the cotman pocket box set. i have this one.
EDIT: i'd like to add some pros and cons. the white nights set is very well known and has been around for a long time. many artists will vouch for it. however, the pans aren't of 'standard' size. as for the schpirr farben, that one is quite new i believe but it has great reviews. also, the metal box it comes with is versatile.
also note that these two sets i mentioned, both don't have the colour white. so you get 'more' colour which is very good in my opinion.
Here you are!
Watercolor can be applied to paper directly over a sketch, so it's often a good place to start if that's your artistic background. For a bare-minimum investment, you could try this Windsor & Newton set and a pad of watercolor paper.
After that, you can experiment with thicker watercolor paints (like gouache) that will completely cover over your drawing. I recommend gouache tubes rather than jelly gouache sets (which are often deceptively attractive to beginners).
If you want to paint larger paintings on canvas, acrylic paint is more beginner-friendly than oil paint.
Also I'm a dummy - I just reread your question.
I would recommend these paints (about $13 in the US): Winsor & Newton cotman. They are good quality for their price and come with a nice array of colors. I'm sure others will have similar palette's to recommend that will be just as good - sakura koi, prima watercolor, finetec all come to mind. If you decide you really like and want to stick with watercolors for awhile, I would then suggest upgrading to the artist series versions and maybe getting some paint tubes.
These waterbrushes are nice because you can just fill the barrel with water. Another more traditional option might be a set like this - I haven't used these brushes specifically but it looks like a nice variety of brush types for you to get started on and the brand is good.
This is a great little set and you probably won't find that quality for that price anywhere else. (The tiny brush is pretty useless, though.)
Then get some good paper and a nice brush or two, and go to town!