I'd put hamster at the bottom of that list. They are great pets, I absolutely adore them, but I wouldn't recommend them for a 6 year old. They can often be nippy and hard to hold. They are also nocturnal and will be most active when your daughter is asleep.

Mice are great and have been one of my favorite rodents to own. They too are small though and can be hard to hold. I've never had a problem with them being too nippy though.

Guinea pigs would probably be best choice from what you have listed. They are larger and easier for a 6 year old to hold and play with.

Something not on your list that'd I recommend is a pair of rats. They are great rodents and a lot of fun.