Hi, I'm not from the Austin, Texas area, but do have some resources I can suggest to help you along in your search.

You didn't mention the ages of your children, but if any are preschool age, there's a moms group in Austin, Texas you could contact to get their insights on local childcare options: http://www.austinmothers.org/index.htm

Here are many other local parent groups that may be helpful to get to know: http://www.newcomersclub.com/Texas/HillCountry.html
http://www.childavenue.com/pages/playgroups_pages/playgroups_texas.html
http://www.lonestarma.com/

You can also use Care.com to find local childcare providers. This weekend (3/19 - 3/21), they're offering free access to care provider profiles: http://www.education.com/blog/kellysfinn/2010/03/free-access-local-caregivers-babysitters-tutors/

In finding apartments, I've had success with Craigslist in several different cities over the past 10 years. Here's their site for Austin, Texas: http://austin.craigslist.org/ Getting to know local parents through groups listed above, could help in narrowing the neighborhoods you look at.

For local schools, check out SchoolFinder, which includes community reviews: http://www.education.com/schoolfinder

Good luck -- I hope all goes well with your move!