Hi H.,
I have an almost 3 year old (birthday this coming Friday) and I have similar potty issues. He will go to the bathroom by himself at daycare (in fact, refuses to let anyone help him), but at home, he will not go by himself and will stand there and scream at me if I tell him he is a big boy and can do it himself. I always cave because I do not know if he would just stand there and have an accident on the floor if I flat out refuse to help him. The other thing is that when his sits on the potty, he makes me "push it down". I have tried to teach him to do this, but he wants me to do it. If I don't, then pee gets all over the wall! We actually trained him to stand up and pee, but lately, he prefers to sit. Anyway, I have also asked others for advice on how to break him of this dependency, but I generally get the same response and that is that he will eventually get tired of asking me for help and will get to a point where he WANTS to do it himself. All you can really do is continue to encourage them to do it on their own and eventually the independance will kick in.
On your night time issue, I have to deal with that as well. When he wakes up at night to go potty, he wants me to lay down, but I just say no. I tuck him in, kiss his forhead and leave the room, with as little talking as possible. There are nights when he crys out, but it only lasts 60 seconds and he is back to sleep. It is important to stand your ground, otherwise, you will create an impossible habit to break. A habit can be created just after 2 times, but can take 2 weeks to 2 months to break it. Good luck!
J.