A Leopard Gecko is the very first reptile I have ever owned, I believe I was 12 at the time. I currently have 3 Leopard Gecko's that I am keeping for a friend, (Arya, Imp and Tangerine). Leopard Geckos are very interesting (nocturnal) creatures to keep and not hard to care for.
I keep my leopard Gecko's separated due to fighting if they are caged together. I keep them in 3, 20 gallon cages. I use walnut bedding, have multiple hide areas, including one that has an out of the cage magnetic cover for viewing during the day. I keep fresh water in the cage and feed them about 5 crickets per night. As for heating, I keep under the cage heat pads on 24/7 and if it's cold in the house during the night I have red nocturnal heat lights that I will turn on.
Keeping the cages clean is pretty simple. I clean out the poop once a week and about every 6 months I completely replace the bedding and wipe down the cage.
As for handling, Leopard Geckos can be quite docile but it all depends on their mood. They sleep during the day, so leave them be. When they wake up you should be able to easily scoop them up and they will crawl all over you. Be careful though because they can run fast and if they get scared they will bite. Also, never pick them up or hold them by their tails. They can "drop" their tail in order to escape.
In conclusion, Leopard Gecko's are a wonderful little creature and would make a great addition to your family. With proper care a Leopard Gecko can live 20+ years.