Ben
It's a Prunus of some sort; the flowers are very distinctive. It's probably a plum of some sort, although it could be a cherry plum or similar.
Anonymous
Looks like a pear tree, but the leaf is a bit odd. There might be a variety that would take your warm climate. Generally pears like cold climates. Check to see if you have pear varieties that grow in your area. It might be a flowering pear and does not set fruit.
A Hunch
Is it an apricot tree?
When did you move in? Stone fruit trees lose all of their leaves after the harvest.
in the spring the flowers emerge before the leaves.
https://www.featurepics.com/online/Spring-Blossom-Apricot-Tree-White-Flowers-1002512.aspx
If it's not an apricot, maybe another stone fruit.