I remember why I gave up keeping Lygos -- the hatchlings found invisible holes to escape.
The best idea I came up with was large pickle jars - the gallon or two size so that it's not too cramped and hard to manage the environment. Plastic ones were great, but were easy to topple, so the needed something heavy (like a rock) on the bottom.
I kept it simple - plastic plants, a few bamboo sticks - make sure to silicone the ends securely so they can't hide inside and laugh while you're searching all over for them. Or, cut the bamboo right close to the 'divider', if it cracks or has a hole, silicone is your best friend.
Cut the centre out of the lid, or see if you can find a mason jar lid ring to fit. Use fibreglass screen over the jar, then screw the lid on - it will be a tight fit because of the screen, but I managed to get it to work.
For feeding, carefully remove open the jar and lift the screen, put a dab of fruit or Rhac diet on one of the plastic leaves. Since the little guys don't eat much the first few months, it's not worth using a food dish. Crickets or other bugs can be added once they get big enough to handle pinheads. I had springtails in with my Lygo hatchlings and know they ate them. They also ate the rice flour beetles that are used for dart frogs. Fruit flies come in several species, try the smallest ones you can get, they should work.