My dad & I always used bare-bottom tanks & left the eggs in there because they are very delicate & any disturbance, such as temp. change, could cause them to go bad & get fungus. We left the parents in there for the first 2-3 weeks & after a couple of batches, the adults actually became pretty good parents. If the parents are left with the eggs, they'll eat any unfertilized eggs that discolour. If you take them out, are you going to remove those bad eggs because they will develop fungus & it'll spread to other eggs. (Methylene blue does help with this problem though). Besides, it's cool watching the parents guard their fry. The downside of course was sometimes having them eat their fry
Good luck & have fun. Remember, if you lose the first few batches, don't stress out over it. Mine would breed every few weeks. Ended up with 5 tanks just for breeding angels & rearing fry. If you're successful, it'll seem like they take forever to reach saleable size but it'll also feel very rewarding.
Anthony