We drove from Houston last year. My big mistake was trusting DH when he said he would get off work early - he didn't, so we hit rush hour trying to leave. Took us 2 flipping hours to just get out of Houston.
We stopped in Mississippi the first night about 1:30 am to rest, not as far as I wanted to get.
So, I'm certainly an example of how not to do it.
What I wanted to share about was the rest stops though. I had planned to find Cracker Barrells along the way for bathroom breaks - as they are generally clean. However, we were very happy to discover that in Florida - the rest stops were surprisingly clean. We stopped, let the girls use the restroom & kick a ball around for a bit in the open area. Was a nice break for everyone.
Coming back was a whole lot easier and DH didn't have to "arrange" to get off early.

We live out 290 - near Cypress - and it took us about 15 hours to get home. . .and that is with stops/breakfast, etc. We stopped in Pensacola coming back and stayed at a Motel 6 right along I-10. Wasn't the more glamourous place, but it was certainly reasonably priced & clean.
There is a spot along I-10 (I wasn't driving at this point so not sure what City it was) where you pass through a tunnel that goes under the water - my DDs thought that was the coolest part of the drive. It is on this side of Pensacola. They also have some Jets mounted that you drive by. Last time I rewarded good behavior with Disney Dollars along the way, and that went over well.
Anyhow, we are planning to drive again this year. Airfare is just too high. This time I've learned my lesson and insisted DH take the whole day off!!

So we should do much better.
Have a great time.