Feed the females an exceptionally well balanced diet with plenty of calcium.
Provide a suitable egg laying area with moist sand or soil.
Move the eggs to an incubator as soon as possible. the eggs begin to "settle" into development with embryo at the bottom, the airspace at the top, and the amniotic fluid around it. Once they have set-up, they must be moved carefully as to not to shift the embryo's orientation, thus killing it. Another concern is if the eggs have stuck together already, as some species do, it is best not to pry them apart or you could destroy them and lose the embryos. If they stick together then move them as one and hatch as they are now set.
You can buy a incubator or make one. In either case, choose a good incubation medium that will retain water and maintain humidity, is sterile, and wont promote excessive growth of molds or fungi.You can also just leave the eggs if you have the right environment.
Monitor the eggs to see that they don't get too hot,too cold, too wet, or too dry. Too hot or cold and they embryo wont develop. between 77 and 90 degrees Fahrenheit is optimal. Too dry and the egg will collapse and the embryo dehydrate. Too wet and mold will grow on the egg and the embryo could drown. A good balance is moist to the touch but not wet. If you can squeeze or push on it and water puddles, it's too wet. If you put a tissue on it and it doesn't come away wet, then it's too dry.
Hatching begins anywhere from three weeks to two months depending on the type. The young make a slit in the egg and is called pipping. They may remain in the egg with just its nostrils exposed for breathing or it may stick its head out. Complete hatching may take a few hours or several days. Do not worry. They will emerge when they are ready. Do not try and assist them, you could cause more damage than help. Many lizard embryo's have a fine network of veins that surround them and attach to the inner side of the egg shell, much like bird eggs. If they are removed too soon, they can bleed to death. Also, try not to disturb the eggs. Some premature hatching can be caused by vibrations or sudden movements, causing the embryos to burst out and run away.
It is best to leave the hatchling in the incubator for at least 24 hours in order for them to adjust and settle after the trauma of birth before adding additional stress of being relocated to a new temperature and humidity levels. Hatchlings will normally shed their first skin in this first 24 hours, so keeping them moist will help to insure it comes off without any issues.
resourced for this article include the following sites...
I - By Jonathan Rheins
I have lizard eggs? -by Sisa on Yahoo Answers
Should you cut open a leopard gecko egg? - Reptile Forums UK
Information on Bearded Dragon eggs - PogoPogona.com
Lizard Reproduction - BioExpedition.com
Reptile -Reproduction - Wikipedia
Lizards Hatch From Their Eggs Prematurely - by David Malakoff
Take care of Lizard Eggs -Preparing for Babies - Edited by The Reptile Whisperer, Ron D,
Teresa, Serendipitee and 5 others
You can either build a home made habitat for your lizard or purchase one. Either way, you will want at least the following.
A box or tank with air flow to keep your lizard in.
Depending on your lizard type, you will need dirt, sand, moss, or other flooring for them to run around on and build nests/boroughs in.
You will also want some "decorations", such as a hollowed out log, a cup or artificial cave, or even some moss or sticks for them to climb. Many will even like large rocks for either "sunning" or for hiding under.
Often you will also want to provide a warm side and a cool side to your enclosure. However, I have managed with them quite well by simply maintaining a regular temperature in the house and letting the tank adjust naturally. We did use a florescent light and a single small warming light. However, there are several warmers you can use that will provide a warm place for one side, will provide both a cool and a warm side for the tank either on the bottom or by lamps. Getting a thermometer will help you guarantee a proper temperature.
A food dish is a must. If you are going to use both died food and "live" food, you may want two. Also, depending on the breed, you may or may not need a water bowel. Some lizards drink dew, so for those you will use a spray bottle instead.
resources for this article include the following...
How to Make a Lizard Habitat: 9 steps - wikiHow
Lizards - Developed by Annette Lamb and Larry Johnson, 05/02
How to make a lizard habitat by FountainPRODUCTIONS (video)
How to set-up a lizard habitat! by Snakeboy345 (really great video)