It is best to trim back some of the roots as the small, dried ends will no longer function and are of no use to the plants. As is the case with the stemless types such as Lithops, the dried leaves that may be on your plant when shipped are best left on as they help prevent abrasion of the new skin and possible subsequent infection. Most succulents do best in a well-drained growing medium. Bagged 'cactus mix' is suitable or regular potting mix can be added to an equal volume of small gravel or best, pumice. The main requirement is a porous soil that drains quickly.
Good drainage is essential so make sure to use pots with drainage holes.
When potting, have your mix only slightly moist so that when the pot is tapped on the bench, the soil will settle around the roots of the plant. Water in lightly, only enough to insure good root contact, and place in a semi-shady spot for a day or two, gradually moving the plants to a sunnier location. A bright outdoor patio is ideal, keeping in mind minimum temperature limits. A sunny south window or a bright spot in the greenhouse suits them well, though the bright sun may need to be diffused to prevent sunburn if the plants are placed close to the glass. Minimum temperatures are various and unless you know otherwise, these succulents should not be subjected to freezing.