Lobster roaches are the most prolific species that we have worked with. You will be amazed at how fast they reproduce. Lobsters reach a length of about 1 and a quarter inch long and are soft bodied. They are climbers and can easily scale smooth surfaces including glass. So some type of barrier must be used with this species.
We house our Lobsters in 56 quart and 122 quart platic Sterilite tubs. We do not use any substrate, there is not need for it and it is easier to clean the cage without it. You will want to stack 2 - 3 cardboard egg crates in each tub for shelter and to increase surface living area. You will have to apply some type of barrier along the top 2 inches of their enclosure. We use Bug Stop. Alternatively, you could use lard or vasaline smeared thinly. Of the two, I think lard is less of a mess. You should make sure that the enclosure has adequate ventilation. There should be no moisture build-up/droplets in the enlosure. The temperature should be between 80 - 90 degrees. The higher the temperature the faster they breed.
We feed our Lobsters a mix of puppy dog foods with no red dye. We also occasionally supplement with layenya pellets (food for laying hens). But you can personalize their diet to suit your preferences or you insectavourous animals needs. These roaches eat just about anything and since you are raising them yourself there is never any question about nutritional quality. You never really know what you are getting when you order from a big cricket farm. Do not put more food in your cages than can be eaten within 2 days. This will prevent your food drom becoming stale and losing nutritional value. Moisture is extremely important to your colonies. Make sure they have access to moisture at all times. We use chopped carrots for moisture. We do not add new carrots until they have eaten all of the carrots from the previous feeding or when it dries hard. We also throw in many other scrap fruits and vegetables such as: apple cores, salads, snap bean ends, potato skins, etc. You must be very careful when adding scraps, make sure that you only feed enough that can be consumed within a few hours. If not, many of the scraps will spoil and leave a messy goo that you will have to attend immediately, this can also attract flies. Make sure you keep your moist food seperate from your dry food, this will prevent your dry food from molding. Keeping the cage clean and dry will ensure a healthy colony.
You don't need to do anything special to enduce successful breeding. Lobsters are amazingly prolific.