Hen's and Chicks are usually Sempervivums and come from Europe in the mountains. They are winter hardy in NJ and most likely much further north. They can also be called "House Leek" as they have been grown on the thatched roof of houses to stop leaks.
If you want Caudiciforms, this mail order place is a great place to shop. http://www.miles2go.com/
I have placed at least three orders here and have been fully satisfied with quality and price. Plants come bare root so you will need to pot them yourself.
Your Turbinocarpus is a great plant. Comes from Mexico in San Luis Potosi state. Loves calcium in the soil. Let it dry out well between waterings. Most have a tap root so you will need a very deep pot, but narrow in diameter. Clay is best as it dries out faster. Must have very well drained soil. Gypsum can be added to the potting mix too. It also likes it warm in the winter-temperatures in the low 50F or so.
Here's one of my Turbinocarpus blooming last year, Turbinicarpus psuedopectinatus. :