Hi Alma,
I have no experience with growing berries in AZ. I did grow Loganberries and Raspberries when I lived in Los Altos, CA. Huge successes. Of course, they grow wild by the roadsides there (you'd never want to eat the fruit of bushes at roadside because of all of the pollutants). Here's a link discussing various sorts of berries to consider. I'm sure the "pickin's" are few for Phoenix but trying some variety would be worth preparing a space with rich organic compost and water and shade cover. Sounds like the thorny types are the dickens to deal with (assuming your plant survives the first summer). I did read somewhere that the optimum time to plant is Fall.
http://www.pickyourown.org/unu...
