Personally, there's no way I could part with my dogs. While dogs are highly adaptable animals, their lifestyle may have to change - such as being outside a majority of the time, being let loose, etc.

As your dogs are let loose a majority of them time (unless that's changed?) there are many deadly animals they can run into - including scorpions and rattlers. The heat in Arizona is intense and extremely dry. They will most likely experience dry, flaky skin for a while until they adjust. I would also advise you that they are kept inside a majority of the time because of the heat.

I would highly advise you to fence in an area for them.