looks like a red oak

well this tree does not shed leaves in winter. its all year around tree.

can you take a picture of a leaf or closer to see some detail?

My guess is Live Oak, does it have small oval leaves that turned brown and fell off while quickly being replaced by new leaves this spring?

No matter what, if it's an oak tree do NOT prune it unless it's July/August and we're in the hottest part of the summer OR it's January/February and it's consistently freezing. Those are the only safe times to prune due to oak wilt.

Also, pruning to keep a tree at a certain height is not a good idea, it tends to make both you and the tree unhappy.

Here is a link that might be useful: Live Oak

"TOPPING" a tree is NEVER good. Most are designed by nature to grow tall and give us shade.

Thank you for all great responds, I will take another pic, How can I protect the foundation of my home from roots. also any good instruction on how to make the three look better and healthier,?

I looks like a live oak to me too. There are several regional variations which have somewhat different growth habits.

The tree looks very healthy to me. You might consider limbing it up, meaning to take off the lower limbs coming off the trunk so you can see and walk under them with ease. Prune them at the times mentioned above. The beetles that carry oak wilt not be active then. Also saw them a few inches away from the trunk which leaves a little collar with tissue that will grow over the wound. The link below illustrates pruning procedures.

Live oaks are wonderful trees!

Here is a link that might be useful: Information on how to prune oak trees ...

Don't worry about the foundation being damaged by the roots. What will cause foundation problems in D/FW is inconsistent moisture levels in our "lovely" clay gumbo soil. Run soaker hoses around the foundation and set a watering schedule to keep the soil around the foundation at an even moisture level. Clay contracts as it dries out, then expands when it gets wet, that's what causes the problems. The trees will only send roots under the foundation if you have a water leak, otherwise, there's no water for them to find.

It definitely looks like a Live Oak, and a nice one at that. They're common to the point of being over-planted here in central TX too.

To keep it looking it's best, you definitely want to stay on top of pruning lower limbs. They have the tendency to send down low hanging branches. As mentioned, coldest part of winter and hottest part of winter is best to avoid the possibility of oak wilt.

If you're getting surface roots, which is common with these, a few can be removed as long as it's done in the dead of winter. We had this done a few years ago. As we did, I'd recommend hiring a pro as to not cause irreparable damage to the root system.