Hi Stef,
Too much carrot at one time (just as bad as you eating a whole pan of brownies :lol
give 1/4 of a whole one, and the thicker ends should be further cut in half. Carrot tops/greens are good for her and she will love them even more! ;D
Yep, you got a good start on a bunny condo!
I would recommend you move the hay rack up so that she has to lift her head to get to the middle of it ... it will keep her environmentally stimulated. Some bunnies just don't care for timothy, so you could try some horse grass hay ... maybe if you know someone stabling horses you could buy a 1/4 bale from them?
As for her running around her cage when she sees you ... that is bunny love! She is happy to see you, and when you let her out, if you really want to please her, stand still and she will circle around your legs. That would also be a great time to treat her with a ritz or saltine cracker ... she will stand up and lean against your leg ;D Yes, it is begging, but they are so cute! :lol:
As for the litter training, one guy would make holes in a plastic dish pan and put some wooden dowels standing up, then put the hay in and put that in front of the litter pan. The bunnies will poop when they eat, and the stakes would keep them from sitting in the hay pan ... this also means you need to block the outside of the hay pan, so that the only option is to sit in the litter pan to munch the hay.
Although, it was explained to me that bunnies don't have the outer sphincter muscle that other mammels do, so they don't have as much conscious control over poops.
Rather than a litter pan, you might use a dropping tray with a piece of wire over it ... I am using an old diswasher rack on top of a litter pan. Once they pee in it, they will always return to that spot to pee and will do most of their pooping there, too.
You could also give her 4-6 hours of only hay to make sure she eats enough. Especially with the rich supplements such as carrot (only once per week is not too much) and only one leaf of greens per day, or even every other day. Unless she has had these regularly, you should probably not give any more this week to give her intestines time to adjust to them. Also, a tablespoon of dry rolled oats per day (Quaker rolled oats for people work fine ... no fruit or creamy stuff) will be much appreciated!