First of all, ask yourself why you want to breed her. Is it just to have cute bunnies running around all over the place? Is it to improve the breed (which is the purpose of most responsible breeders)? Is it to supply your friends and family with pets?
Second of all, where did you get her? Responsible breeding means you don't breed animals that you do not know the genetic history of. Some people think this means sticking to only pedigreed animals, though sometimes you can know the history of an animal and not have a written down record of it.
Third of all, it is not exactly common for first time mothers to abandon their litters. Sometimes, it has to do with the mother not knowing what to do. Sometimes it has to do with the litter being unhealthy. Most animals will reject unhealthy babies, and if there's something wrong with them, that's what will happen with rabbits, too. However, there are ways to intervene if the case is that the mother doesn't know what to do (and I'll talk more about that in a sec).
As far as handling the kits, it totally depends on the mother. If the mother trusts you and is used to your scent, then you should have no problems handling them right from birth. We handle all our babies the moment the mom is out of the nest box. We've never had any problems with the mothers rejecting them after this. It is actually better that you handle them from a young age. It's important to inspect them right after birth to make sure they are healthy and fed within the first 8 hours. If you're concerned that your doe will not like that you've handled her babies, take a drop of vanilla extract and place it on her nose. By the time the smell from the extract wears off, the babies should be smelling "normal" again.
If you really want to breed some rabbits, then you should look into contacting a breeder in your area and seeing if you can arrange something with them. Perhaps they will let you see some new born kits and give you a little more information. Also, as I mentioned before, it's important to know the background of any animals you breed so that you can be certain that you are actually improving the breed, so to speak. No one truly wants an animal that is sickly (given the choice beforehand between a healthy or sick animal) and will pass on the sickness to any offspring.