+1 on D76, too vanilla for some but you're unlikely to ever find a film that won't have D76 instructions. (Ilford and others make D76 clones). There is an advantage to using some of the liquid concentrate developers, where you mix your working solution just before putting it in the tank, for someone starting out. And like others have said, you can mix and match the brands....
Do you have an enlarger? If not, a hybrid work flow will get you started: develop the film and scan it. Once you have a darkroom and enlarger etc you can branch out. Darkroom print work is a real time consumer...
So for 35mm film you need:
tank and reel
scissors and a bottle opener or similar to open the cartridge
a dark place or changing bag
large enough graduated cylinder to measure out your chemicals for the tank
thermometer
some way to measure time (a cheap digital kitchen timer works great, as does the timer on your microwave)
some 1 liter bottles (for the fixer, mostly, but you can buy D76 in liter size mix) and a funnel to pour the fixer back in
running water
wetting agent / photo flo
some kind of clips to hang the film to dry
The process itself is simple, imprecision by iteself won't ruin things most of the time - what you get with precision is repeatability. But if your mixes are a bit off, your times and temps, you will still get results
Develper, agitation sequence. Pour the develper away.
You don't need stop bath, pour water in the tank, agitate a while and pour it out
Put in the fixer, agitate... when time is up, pour the fixer back in bottle (keep track of how many films you've fixed, after about 6 it is time to mix a new batch) (also, depending on your patience, you might want 'rapid' fixer which works in 4 minutes or less, vs regular fixer which goes for 8-10 minutes)
Then, you can do Ilford's washing method:
http://www.ilfordphoto.com/Webfiles/200629163442455.pdf
The version I do: fill and dump, fill invert 5 and dump, fill invert 10 and dump, fill invert 15 and dump three times
Now you take the tank top off, and use a dropper (get from drug store, or repurpose nose drop bottle) for a drop of wetting agent... etc etc.