just noticed the other pages of pics. my bad. no idea how good the Essmetuin stuff is.
but the viralloy solder sucker looks to be a clone of the engeneer SS-02 i mentioned in one of my other posts, you can buy 2mm id/4mm od silicon tubing to replace the tips when they go. so id say give it a go. just make sure you clean it regularly, and put petroulium jelly on the silicone rings inside.
the third hands looks good, but id say they are optional many times you will only use it for boards that dont sit flat. i rarely use my PCB holder, and have never used a magnifier. and i have replaced 0402 components by hand. heres what i have, and can recommend this style https://www.aventools.com/adjustable-circuit-board-holder
regarding the tools in pic 9, just get tweasers, i have the tools on the left and i RARELY use them (like once or 2x a year) heres what i use https://www.amazon.com/iFixit-Precision-Tweezers-Set-Angled/dp/B079K874CQ they are a little pricy, but they do come in a little pouch for storage. after they do wear down, then buy generic and store in the pouch.
if you do get that 6 piece tools, and you have a 3d printer, print one of these. https://www.thingiverse.com/thing:1931755
the essmetuin is leaded solder, lots of people swear by it cause "they dont like now un-shinny unleaded stuff is" totally ignoring the fact it has LEAD in it. if you REALLY want leaded solder get the normal 60/40 instead of the 63/37 you linked.
if i had the choice id definitely learn to solder on unleaded solder, as leaded solder is getting more and more restricted due to the simple fact it contains lead. one tip, for using the solder that comes with that iron, turn your heat up to 350c and dont linger for more then a few seconds on each point and youll have little trouble with unleaded solder.
wick is wick, even the good stuff sometimes needs extra flux to work.
for the essmetuin flux tub, i have no idea how well it is, i see a single 2 star review sayign its extremly sticky, but they dont seem to know how to use flux as they tried tinning their tip in it, every other review seems legit.
personally i recommend reosin flux, im currently using the CAIG flux and have used radio shacks flux before as well. radioshacks flux is identical to caig's flux and i think its a rebrand of it/ https://www.amazon.com/Non-Spill-Rosin-Soldering-Paste-Flux/dp/B007Z82SHI the caig flux is not on amazon
instead of the flux syrings i recommend grabbing some micro swabs (and throwing it away when done) https://www.amazon.com/BS-MALL-Disposable-Applicator-Sanitizing-Personal/dp/B0BL7D3JB4 as you dont need a TON of flux to get things done, but with these you can apply globs of flux, or a then brushing of it.