Q.How to prune a peach tree?
Some of he tree’s branches are lower than 5′. I would like to prune the lowest branches. Also, what sprays should I apply to stop brown spots and worms in the fruit? I would appreciate your advice on either or both questions.

Certified GKH Gardening Expert
The best time of year to prune is in February, once the danger of frost has passed but before any fruit has begun budding/blooming. First you need to do some cleanup pruning. Prune out what is dead and any weak branches, especially if they are crossing other branches. Once the clean up pruning is done, if you have any fruit left on this tree, you need to thin it out. This article will help with that:
https://www.gardeningknowhow.com/edible/fruits/peach/peach-tree-thinning.htm
I personally like neem oil for worms and pests, as it is both a pesticide and fungus but does not hurt bees or other beneficial insects and is also safe for people. Here is more information on it: https://www.gardeningknowhow.com/problems/pests/neem-oil-uses.htm
If the worms, or peach borers, have been an issue, then this article should help as well: https://www.gardeningknowhow.com/edible/fruits/peach/peach-tree-borer.htm