Hi, welcome to the forums. I keep r. brevs. Are yours WC or CB? How old are they? If they are WC, you can expect eggs any time. They produce easily.. overwhelmingly. Just keep a close eye on your ladies. Before they lay, they will be wide. After they lay, they will suddenly be thin. Other signs to look for are females with dirt on their head, or a female pacing a bit... especially along the back wall of the tank. They seem to prefer back walls and corners, or by plant root systems. A lot of times, your females will choose "THE" egg spot and a few of them will lay there. Sometimes, you will catch a female in the act. Mine tend to lay in the late morning or early afternoon. After you have dug up the eggs, they can be placed in a tupperware container with a couple, three holes punched in the top, filled with perlite or vermiculite. Mix the substrate with some water and then bury the eggs on their sides about halfway up the egg. The eggs incubate well at room temperature and should hatch in 75-85 days.
Once you have babies, you have some choices to make on baby containers. I use very small aquariums with layered substrates like the adult cages and live plants. I believe roo uses Kritter Keepers with reptile carpet and plastic plants, and Mike from FLChams uses tupperwares lined with paper towels and vines. I switched to my baby cage methods mainly because I was having problems keeping the humidity up.. it works for me, but something else may work better for you. Mine are fed pinhead crix, fruit flies, springtails, sow bugs, tiny roach nymphs, tiny walking sticks. Insects are lightly dusted with calcium every day, and vitamins once a week. I move mine to larger tanks when they are a month old.
I have never had mine play dead.. at least, not in a way where I actually thought they were dead and might have thrown them away. This is a funny and entertaining species. The tanks are better than TV!
Good luck to ya,
Heika