Personally I would leave about 3 in the current pot so you can pick your favorite and thin as they get bigger. You can move some of the ones you are thinning now to other pots if you are careful. You can probably leave your main 3 in these pots, reducing them down to a single plant until you are ready to transplant to their new home be it pot or soil.
Arizonia is hot and dry so anything you can do to get the root base bigger helps. You can trim about1/3 of the leaf area off prior to transplanting and start water stressing them slightly. placing them outside in partial shade and gradually increasing the time of full sun exposure a few weeks prior to transplanting helps a lot. If you go from indoor lighting straight to full AZ sun you are probably going to kill a lot so go gradual and time it with the weather cooling.
I currently have young plants (5 weeks old) sitting outside on the porch getting about 6 hours of full sun at 90-95 degrees - we have a lot more humidity here than you do though. Some are in pots smaller than 4 inches in diameter.
You will likely get much bigger and nicer plants if you can make a decent garden bed for them vs growing in pots or unamended soil. I grew a lot of mine in pots this summer and the ones I put in the ground generally did better (well, better where I amended the soil anyway).
If you are going to plant them outside in pots I would not go much smaller than a 5 gallon pot size and make sure it is a heavy pot or you are going to spend half your life picking up tipped over pots - want to ask me how I know that
Just my thoughts - plenty of people here have many, many more years experience growing than I do. Some people like
@deluxestogie might even know enough to fill a book or three about the subject