Brad, I'm not sure why you planted a dwarf. Standard peach trees aren't hard to keep small and your site looks like you have plenty of space. I'm also not sure what dwarf rootstock the nursery is claiming your peach tree is on, but be aware peaches on dwarf roots are generally more difficult to grow than peaches on standard roots. A standard peach should give 100 peaches the third year. Your tree looks to give about 7-8 properly thinned peaches. However, there are some things you can do to improve the vigor of your dwarf. First, put some mulch around the base of the tree so it doesn't have to compete with the grass for water and nutrients. You also might want to add a little N fertilizer at budbreak. Do it just before a rain. Lastly, give the tree a few drinks of water in the driest part of summer. On the pruning, as was mentioned, the tight angle at which your tree forks is generally not desirable. However, the wood looks small enough to be trainable. Drive a stake in the ground and pull the small branch down and tie it with some string. Tie it so as not to girdle (strangle) the wood. Because the crotch angle is so bad, you may have to pull it down in increments to keep it from snapping from the trunk. Try to encourage lower shoots on the tree. You may not get any lower shoots from this tree, but if you do, nurse them along. One of the biggest mistakes beginners make is to remove lower wood. Unless you're pruning for deer, keep the lower wood (as long as it's above the graft). It helps to make a shorter tree.

It's peach leaf curl. The tree needs to be sprayed before bud swell in spring. All you can do now is dispose of the affected leaves. Here is a link that might be useful: peach leaf curl

The University of Arizona has a list of recommended deciduous fruits and nuts for the low desert. According to this publication "Most areas of Maricopa County average between 300 to 400 chilling hours per year. By selecting varieties of fruit that require around 250 hours of chilling to set fruit you can be sure of a full crop almost every year." As turtleman mentioned the Bonanza peach is one of the best dwarf for our location. The UA bulletin says "*Bonanza Miniature: Popular yellow freestone - large fruit is sweet, low in acid, with a mild, refreshing flavor. Mid-to-late May in low desert climates. Five- to six-foot tree. Chilling requirement very low, 250 hours or less. Self-fruitful." (meaning it doesn't need another tree to cross-pollinate) Here is a link that might be useful: Deciduous Fruits and Nuts for the Low Desert

They look fine. Don't cut any more off. Thoroughly spray for spider mites as these insects will remove any new growth as it starts to grow and will overwhelm the trees. My question of importance is, does you husband have to compete against your 3 trees. He might feel insecure. My husband is threatened by my trees. Stephanie