A.S.
K.,
Doulas in the Austin area are fairly in demand. One place to start is to contact the Central Texas Doula Association and perhaps go to one of their meetings. Some of them can probably address your questions. www.centxdoulas.org
There is a doula training in San Antonio at the end of April. You can find contact info here: http://www.dona.org/workshops/
The hardest part about being a doula with small children is the childcare (especially when the care needs to start in the middle of the night). I became a doula when my children were a bit older and my husband was not usually on the road.
Someone said lactation consultants need to be nurses, and I'm not sure that is accurate. As someone else said, it is MUCH easier to have access to breastfeeding mothers if you are a hospital-based nurse. Texas Dept. of Health offers some breastfeeding courses for anyone, but they are typically weekday courses.
Best wishes.