Well, we closed on the house, and have moved in.
The developer said the oaks were simply known as "live oaks", which kinda makes some sense, because they look like miniature versions of the live oaks in my home state of Louisiana. They estimate mine are about 50 years old. They said they grow really slowly around here.
The others he simply called "junk" red cedars, and suggested that I cut them down immediately. I did so today, and my back and shoulders are killing me. My whole back yard smells like a cedar chest. Took me forever to get the cedar shavings out of my hair when I took a shower afterwards.
I removed 8 of them from among the oaks, leaving only the oaks standing, with one other little 3" diameter tree right in the middle of that grove of trees - he claimed it was a persimmon tree, and suggested that I let it stay, so I did.
Everywhere a branch from those cedars scratched my skin - it itches tonight. I put some anti-itch meds on the scratches and it helps.
Anyway.... the yard looks much better with just the oaks and no more cedars. Every one of the cedars had ants in them. I didn't see any ants on the oaks, and I looked really well. Time to call an exterminator to treat my yard. Don't want my 4 year old getting bit by ants!
Looking closely at the oak trees tonight, my son found something really neat - a chameleon! Then we found another one! Really neat to see these sorts of things in my back yard. Right before moving in, we found a walking stick (the insect) in our garage. There are so many bugs and creatures around here that I've never seen before. My son is loving it!
Thanks for all the responses and help. The official description now has become "oaks", and "that pile over there getting ready to be hauled away". Ha! :D