We sell blackberries, blue berries, and raspberries. They are easy to plant and maintain. A single plant can live and thrive for 20 years or more.
Blackberries and raspberries prefer sandy soil with good drainage. They should be grown in a raised bed where clay soils exist. Use compost prior to planting. They need at least 6 hours of full sun per day, but may benefit from afternoon shade. They will ripen in May and produce through June.
Blue berries need at least 6 hours of sun per day, but need some shade in extreme heat. They need an acidic soil pH. Arizona has alkaline soil, so you may be more successful growing them in pots. They can grow to 3 foot tall and 20 inches wide so allow for this when selecting a container. Blue berries can handle our full desert sun as long as they are well watered. Water whenever the soil feels dry.
Link to Growing Blackberries in the low desert: