
So no Bunny?? DD wants a cuddler... Not many Chincilla owners? How about shedding?
You need to do a whole lot of research online and otherwise about any of these animals, and you should also have your daughter read up on them before you make any decisions. She needs to understand that it is very possible that none of these breeds would be a cuddler. You also need to think about how these animals are going to hold up and react to the other smaller kids in the house if they try to mess with them.
A Guinea would probably be the cuddliest of the three by nature, but as set out above, they smell and there is no getting around that. Also, you will not want them in your DD's bedroom or anywhere near where anyone sleeps because they are up all night.
http://www.humanesociety.org/animals/guinea_pigs/tips/guinea_pigs_as_pets.html
http://www.pethealthandcare.com/guinea-pigs.html
Chincillas are not cuddlers by nature, but with lots of time and training, you can make them cuddlers. I don't know how much time it takes or if being away from them 8-10 hours a day is going to cause a problem with that. Chincillas also tend to be up all night. Also realize that if you get them trained to be a cuddler, you have to be careful about overheating them too. Here is some info on Chincillas as pets to start you off:
http://www.chinchillasource.com/chinchillasaspets.html
http://www.huggablepets.com/huggablepets/ChinCareBooklet.pdf
http://exoticpets.about.com/cs/chinchillas/p/Chinchillas.htm
Here is some info on rabbits:
http://www.peteducation.com/article.cfm?c=18+1803&aid=2511
I would really do my research on rabbits and breeds if that is your choice, because I think there is a good chance with a rabbit that you will not get a cuddler or maybe not to the extent that your daughter is expecting. Most rabbits (with some exceptions) do not like to be picked up. Some really like to sit next to you and let you pet them and hug them as long as their feet are on the floor, but even most of the ones that like that do not care to be on your lap. They want to be on the ground while you are petting and cuddling them. There are a good number of rabbits that don't even do that. I don't know if some breeds are better cuddlers than others, lops maybe? I do know that my best friend got a rabbit because she wanted a "cuddler" and it did not turn out so good. She got it as a baby, and it would let her cuddle it then, but once it got a little older the instincts kicked in and that rabbit hated being picked up and would claw anyone who picked up. It would sometimes let you pet it, but if it did not want to be touched it would grunt at you and if you didn't stop nip at you. That thing was supposed to be little too, and it kept growing and growing. It turned into one big cranky rabbit.
I know you said no dogs, but personally if it were me, I'd go for a pair of cute cuddly dogs that will keep each other company during the day, and provide companionship for your daughter when she gets home. (A Havanese would basically camp out on your daughter's lap- they like to be with you or on top of you at all times). You can have a doggy door so they can get in and out during the day. I think you will find that dogs actually turn out to be a lot less work than any of these breeds. Plus, you also talked about possibly getting a dog in the future, know that if you get one of these animals, that could turn into a problem- you will have to deal with things like how to get the old animal enough out of cage time, while protecting it from the dog etc.
Good luck whatever you decide. I know my dog was my best friend when I was a kid, so I think pets are such a benefit to a household.