You'll want to get a class IV hitch. Reese has one they call a CLass III/IV. Makes it kindof cornfusing. Get one with a minimum 7,500 lbs total weight, 750 lbs hitch weight (non-weight distribution). Just did a google for your truck and they run about $200. You can put it on yourself.
A wiring kit is available for the 4 flat configuration. That means you get lights only. For electric trailer brakes and trailer battery charging capability, you would need a 7 round connector. Couldn't find a wiring kit for that. I would feel comfortable doing the 4 flat kit myself, but would probably pay someone to do the 7 round. If you plan on towing anything over 1,500 lbs that doesn't have surge brakes on it (U Haul stuff), I would get the 7 pin done now.
01 02 Toyota Tundra Hitch Wiring Kits
Tom