Basically, if you’re going to grow grapes in most of the desert southwest, there are three main species that you should be looking at.
European (California) varieties are not winter hardy and will do well only in lower, more temperate elevations.
There are some cold-tolerant American varieties, but some of these do not do well in alkaline soil and become chlorotic.
French hybrids fall somewhere in the middle.
Here are some suggested varieties:
European Table varieties
Wine varieties include:
American varieties:
French Hybrids