I used to breed guppies, so I know all about this. Platy's are cool, but I got out of raising live-bearers because the tank gets full pretty quick if you don't have a predator in the tank to clear out the weak. Bettas are good for this, and females are a little less aggressive than the males, so they are more likely to to go after the babies rather than the adults.
Now I have an expensive male betta with a half moon tail, large tetras, two plecos (ones a bristlenose), 2 albino red fin sharks and a myriad of loaches. Loaches are so awesome, they have cute little personalities!
Don't name the babies, as many of em won't make it. Wait till they are a little older, and if possible, you may want to separate the males and females later on so you don't end up with a bunch of inbred fishies with bent spines and ugliness.