The basics products you'll need are:
1- clarifying shampoo with no -cones for your "last wash" (I'm sure you have one at home that will work. Otherwise pick up a travel size Johnson's baby shampoo).
2- conditioner for co washing (most people use a cheap one since you'll use a lot)
3- low poo (optional- lots of people here still wash- make sure its sulfate and cone free)
4- a thicker, richer conditioner to use for deep conditioning, rinse out, & leave in (this is an area where it's fun to experiment- one with protein, one without, etc)
5- lighter leave-in condish (optional- you can just use your reg condish, just less of it or watered down a little)
6- tee shirts for drying hair, plopping (or microfiber towels)
7- wide tooth comb (optional)- you can also just use your fingers
8- diffuser if you'll be blow drying
9- oil for sealing after your leave-in (optional- but works for lots of people!)
10- styling products- start with the KIND of product you like to use now (mousse, gel, cream, jelly), just make sure there are no silicones in them. A lot of people experiment with all these types....hence all the crazy product-laden signatures on this site!
Good luck! It is possible to do this simply, but you can easily become a product junkie too and end up with 10 condishes, 10 stylers, etc etc. that's what makes it fun, lol!