Whether acoustic or electronic, you’ll need a stool (sorry, “throne”) and some sticks, at least two pairs. And something to hold them. Sticks will be dropped during a song.
I had an Alesis electronic kit for a while. Most of the pads were pretty quiet, but the bass drum (‘kick’j on mine required a standard kick pedal. Which thudded through the floor on every stroke. Some electronic kits come with a ‘virtual’ kick pedal with no beater, but a contact / trigger inside so may be quieter.
for smaller players, if you go acoustic, i’d recommend a “jazz” kit – typically small (18” or 20”) bass drum, 10” or 12” rack tom, 14” floor tom and full size (14”) snare drum.
Cymbals are extra, and can get eye-wateringly expensive. Here, you really do get what you pay for. Most of the big cymbal makers sell cymbal ‘packs’ which typically contain hi-hat, one crash and a ride or crash/ride. Look at Zildjian, Sabian, Meinl, Paiste, Istanbul Mehmet etc
If you’re buying second hand you might get lucky to get a complete kit including cymbals.
cymbals are like bikes, or guitars. Optimum number is always n+1. Ask Terry Bozzio 😉