Help with babies

My my two lovebirds had babies about three weeks ago. I would like to clean the cage (they smell really), but I am afraid to touch them in case the parents won't keep feeding them. I don't know if that is the case. Please help

Also, can you give me an idea when is a good time to move them into their own cages.

I didn't anticipate this so I am trying to do the best I can with my limited knowledge. Any help you can give me would be most appreciated