A shallow water dish should be provided at all times and changed daily to stop bacteria and fungus growth. Allowing leopard geckos access to a moist area is a good idea that aids in shedding. Even though they come from arid climates their burrows tend to have moderate humidity. People can supply this humidity by moistening the area under their hide boxes. Make sure that the overall cage isn't wet or overly humid.
Leopard geckos are relatively easy to breed.
One male will mate with several females so people tend to keep them in groups of one male to 3 or 4 females. Pregnant females can usually be detected because of a bump on each side of her abdomen. If provided with a laying box females will tend to use it. Something like a cool whip tub with a hole cut in the side that is filled with moist moss or vermiculite will provide an attractive place for the females. Females will usually produce multiple clutches of eggs during breeding season.