Once they are free swimming you can move them. It is fun though to watch them raise the fry for a bit. They will take the whole group on outings to explore various areas of the tank. Sort of reminded me of school field trips. It was like they were teaching the little ones about different parts of their surroundings.
you really need to switch that gravel for sand. They are big time diggers and gravel can cause issues for them.
I am planning on switching out my gravel for some sand asap for my Firemouths because at feeding time yesterday one of my firemouths got a piece of gravel stuck in their mouth and was swimming around panicking for about a minute and a half before they were finally able to spit it out. I was afraid I was going to lose them for a minute there! I definitely recommend like the others are saying because I've witnessed their need to dig, and it almost got one of my poor guys killed! Learn from my mistake lol