N.H.
K.,
We have a wonderful pediatrician. Her name is Shannon Hayes and she is at 7900 Fannin, Suite 3300. It's in the building behind the Texas Women's Hospital. She's really friendly and down to earth. I honestly don't know if they routinely do blood work or not. (My kids are younger.)
The phone number is ###-###-####. We've also liked other doctors we've seen in the same practice.
Hope this helps!
N.