I guess I'd advise not getting carried away thinking you need all the tools right away. Starting with a few flies you have confidence in is a good way to go. For Buggers and PT's you'll need a vice, a bobbin, rubber-lipped hackle plier, 6/0 thread, and a whip finisher. (I use clear nail polish instead of head cement.) Get a good quality name brand model of each individually. Not sure I'd suggest you get a "kit" -at least from what I've seen of most beginner's kits. Others may have a good suggestion on good kits here. You might end up with cheap tools and poor quality materials you'll end up replacing anyway. That was the case for many of my student tiers. Get a name brand vice, bobbin, plier, and whip finisher (ball-bearing type). You can make/scrounge a lot of other tools as as you go: bodkins, dubbing hooks, dubbing picks, various size hair-stackers, etc... But first you have to need them. As you add patterns to your box you'll begin to acquire stuff.
When I taught tying, I offered the representative types: dry, streamer, nymph. Wets are so much like nymphs or streamers I didn't feel the need highlight them at that point. Then I chose representative patterns that would demonstrate various techniques: tails (dry and wet), winding hackle, dubbing bodies, wings, wing cases, legs, flash, etc... After knowing some of the basic techniques you can expand to other fly needs and even invent your own (don't be afraid to play). I keep fly catalogs in my tying library that show commercial flies available. They can give you ideas to jump off from.
Some very basics on proportion: Visually, break the hook into parts: point, bend, shank, eye. For most patterns you tie on the shank –but NOT just behind the eye where the fly’s head will go, as so many beginning tiers end up crowding the head because they didn't pre-plan proportion. That area behind the eye where the fly head will be is called the “Dreaded Red Zone” (so-called by Joe Cambridge, notable Ithaca NY tier/angler). Now break up the remaining shank (minus the DRZ): For most insect ties, tails go at the bend, abdomen tends to occupy half the shank, thorax/wings, and legs, the remaining half.
In my advanced course, we'd head to the stream to capture critters, then study them in terms of anatomy, mobility, contexts in which fish capture them, and finally, how to select and use materials to get there. It was a lot of fun and taught anglers some pretty important stuff, like: where food items actually live, that anatomically correct in hand does not often translate to realism in front of fish, that flies designed for a specific task can at times outfish a generic pattern by a lot, or conversely, that what fish will take for "food" can at times be amazingly simple -"What are they stupid??" No, they can be selective, or not, they just don't see like us, and fishing conditions/circumstances matter a whole lot.
Have fun. You're getting into a very cool game.