They need a type of savannah setup. Basicaly most skinks like to burrow, so provide some kind of loose substrate. Careful that the substrate is not sharp (like some sands), can be passed through when digested by the skink (some larger pebbles are out of the question, to much sand can also do the same, as do woodchips that are small enough to be eaten by mistake and wood shavings). Some people use soil, but its kinda messy. Also make sure that the setup cannot injure your pet, for instance a large rock put simply on top of the substrate, where the skink can burrow below the rock and possibly get crushed, make sure everything in the setup is securely in place. They of course need some kind of water dish, just a shallow lid or a small plant saucer can do just fine. Replace water in dish daily. U can use plants, make sure it doesnt use any chemicals/pesticides/herbicides on them, and some plants can also be dangerous to reptiles. Realistic plastics are far better choices, plus they can withstand the skinks hyperactivities
If you are keeping a single skink, something around AT LEAST a 20gal long tank, bigger is ALWAYS better. Some heating is required, especialy if you live somewhere cold. An underneath heating pad under the tank can do, as well as some type of lighting like a small spotlamp/those lamps made for reptiles. UV is, according to me, optional as skinks have a type of skin scale that reflects UV, so it is still quite debateable to wherever skinks realy need UV, but from past expiriences my BTS's seem to enjoy some type of UV lighting once in a while, so better save than sorry ( its interesting to see the shimmer in the skinks scales, like the rainbow skinks i kept a while ago). A plant lamp will also be needed if you ever opt for live plants.
There are lots of info on the net, just google what you want to know and choose 1 of thousands of caresheets you can find. Goodluck!
P.S. : dont forget to quarantene every new animal you get. For this, its better to use a simple setup of a piece of paper towel substrate, hidebox, and heating. This will make it easier to monitor any illness your new pet may have, since it may be in a bad condition and need to recover. After about a mont of quarantene, you may transfer him/her to his/her permanent home where he/she can enjoy the new sights etc 
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My "babies" :
1.0.1 Indo BTS (Tiliqua gigas gigas)
1.0.2 RES (Trachemys scripta elegans)
0.0.1 Amboina box turtles (Cuora amboinensis)
1.0.0 Chinese softshell (Trionyx sinensis)
1.0.0 Asian leaf turtle (Cyclemys dentata)
1.0.0 Leopard gecko (Eublepharis macularius)
1.0.1 Indonesian Whites Tree Frogs (Litoria caerulea)
And hopefuly still growing...