Yes to all of your questions!

If you are looking to buy a kit, I recommend this one: https://www.amazon.com/Soldering-Iron-Kit-Temperature-Desoldering/dp/B07S61WT16/ref=sr_1_3_sspa?crid=3PT2VI9ILJQJK&keywords=Plusivo&qid=1669588037&sprefix=pl%2Caps%2C690&sr=8-3-spons&psc=1&spLa=ZW5jcnlwdGVkUXVhbGlmaWVyPUExQUVNVzZNU0MwS0tIJmVuY3J5cHRlZElkPUEwMzI3MDYzMjRIUVhZQkYwSERYTSZlbmNyeXB0ZWRBZElkPUExMDA3ODExMUIxQzFRNDZBMlNXUSZ3aWRnZXROYW1lPXNwX2F0ZiZhY3Rpb249Y2xpY2tSZWRpcmVjdCZkb05vdExvZ0NsaWNrPXRydWU=

It comes with everything you need to get started and do any basic projects, like soldering LED's, wires, and the like.

There are lots of videos on YouTube that explain the process in detail, just search up "How to solder" or "Beginner's guide to soldering".

As for buying kits and making stuff, you can find those on Amazon; I will link some here.

DIY Digital Clock Soldering Kit: https://www.amazon.com/WHDTS-Soldering-Practice-Electronics-Instructions/dp/B0711MHKDZ/ref=sr_1_4?crid=BFOM1NTZTOCU&keywords=digital%2Bclock%2Bsoldering%2Bkit&qid=1669588997&sprefix=digital%2Bclock%2Bsol%2Caps%2C125&sr=8-4&th=1

The above page also has some other kits available as well, pick whatever you fancy!

On top of that, you can also make things without a kit, and use parts from old devices; for example, you can DIY a solder fume extractor from a old pc fan, some carbon filter, and a power supply.

Here is a video from GreatScott!, a youtuber who does lots of DIY electronics videos, and investigates different aspects of the hobby, from sourcing component's to circuit design!

In this video he discusses desoldering and explains how to make a fume extractor:https://www.youtube.com/watch?v=Nb78wF1Tkwc

The possibilities are endless, as long as you can imagine them!

Have fun!

-ND