Agreed on the previous advice regarding peacocks. I kept a peacock mantis for a few years, raised him from 1"-6"~. There's multiple things to consider when keeping one of these, and I've done a bunch of researching on them. I even contacted Roy Caldwell back in the day for advice (a stomatopod guru).
1. More space, and a deep send bed with a bunch of rock. I'd give it at least 3inches. Can also add pvc tubing throughout the tank. I'd use tubing 1.5-2x the width of the mantis, and atleast 3x the length. ***Also, add a thick piece of acrylic to the bottom of the tank under the sand bed. This is for the mantis, when they burrow down they will keep striking the bottom.
2. NO BRIGHT LIGHTING. If the light is too bright, most stomatopods, especially peacocks, will stay in a shaded area or burrow. Additionally, the bright light can cause shell rot in older mantis'.
3. Cohabitation with fish seems to be on a personality basis..to be on the safe side I wouldn't pair a mantis with fish. The peacock I had for a few years never tried once to eat or harm the fish I had in with him. On the other hand, another peacock I had would kill everything in sight. The more aggressive one was the female. Sex of the mantis possibly has something to do with it.
4. If you plan on trying to tame a mantis or get them more familiar with you, (to the point where you're petting them on the back), I would highly suggest only doing it with very young, small mantis shrimps. Hand feeding them while they're small, you'll probably get hit, but at least it won't hurt. It's what I did with my mantis, and by the time the 1 year mark hit, he was crawling on my hand.
That's everything I can think of off the top of my head for now.