Wow, congrats hun!!! I would definitily take things VERY slow. I wouldn't do much the first few days/weeks but spend time with her and build a bond. I would let her sleep where she feels comfortable, whether its' with you, on her cot, or on the couch, with her paci or without (you get what i mean). I wouldn't push potty training, or anything else either. I'm sure you'll do fine
a booster seat should be fine for her age
Maybe make it a point to go the the store after she's been with you a full day, that way you can judge what she needs.