A daily misting of the cage with a spray bottle allows phasmids to drink from small water-droplets. They seem to find this easiest. It is best to avoid spraying the insect directly, because there is the small chance that it can lead to infections. Also, nymphs can drown in a small drop of water, so be careful that your spray-bottle produces a fine mist. Aside from this, a clean cage is about all the typical phasmid requires.
Some tropical species do require controlled heat and humidity though.
Many of our species on this site are non-native, and it is important to remember not to release them or their eggs into the environment. We pick them up for about 5 dollars at garage sales. Keeping the ova in this one aquarium for incubation purposes will make your daily chores a little easier though, as I will explain. As they grow, you will need to separate them into the appropriate number of aquariums. Overcrowding can result in damage to one another.