@KitKat0098, Where are you in Arizona? If you're near Phoenix, it's way too hot in the summer to use a greenhouse unless you can add AC or a swamp cooler. Many of the larger greenhouses do that. The temps in an un-cooled greenhouse can quickly fry most plants and you wouldn't want to be in there either.
Otherwise, your cacti and succulents would do fine in the greenhouse during the winter and could all go outside in summer. Some of them might have to be in summer shade. My husband made a pergola covered with shade cloth for our Scottsdale yard and the cacti did much better both summer and winter. Prior to that some had frozen and some had sunburned.