rabbits, on the whole don't like to be handled, especially by ill equipped children who don't support them properly. GET A RAT, they love to play.
I would be inclined though, if you must go down the bunny route, to get something like a dwarf lop. Don't go for a dwarf anything else though, they tend to be psychotic!
I had a french lop (huge and definately not recommended for small children, those back legs can be dangerous!) he loved to be cuddled and would fall asleep like a baby in my arms. He would come in the house and bite hubby's belly and make a run for it (oh how i miss that rabbit!). Someone mentioned humping, well this rabbit used to corner the cat!!!! the poor cat just used to yowl in protest! I would actually be more inclined towards a male, just speaking from experience though.
Remember the vaccinations though Myxi and HVD, really important. Oh and try and buy from a reputable breeder as there are problems with some bunnies teeth and this can be expeeeensive.