Thanks for your post. Our directory of programs is an "opt-in" service we provide for institutions to reach out to newcomers, but not all Jewish institutions have signed up for this free service so it is unfortunately an incomplete list.
The Union for Reform Judaism does, however, keep their own (complete) list of Reform synagogues on their website, and the list for Texas is here: http://data.urj.org/conglist/display.cfm?state=TX
You're in luck. There's not one, but TWO Reform synagogues listed for Austin.
As for your question, almost all Conservative conversions are accepted by the Reform movement, but not all Reform conversions are accepted by the Conservative movement. And just to make things lively, the Orthodox will rarely accept conversions by either Reform or Conservative Rabbis. (However, the Israeli government will...just as long as it takes place outside of Israel!) This is potentially very confusing for newcomers to Judaism, which is an unfortunate situation which we hope will one day change, but it probably won't anytime soon.
As far as membership requirements in order to convert, I believe different congregations will have different policies.
The bottom line is, the conversion process should be a personally meaningful one for you, regardless of who leads you through it, and we can help you find the right rabbi or educator to do so. As I said in answer to your other post, if you'd like us to make the initial contact on your behalf, just let us know at firstname.lastname@example.org. And feel free to ask us any other questions you might have.
Associate Executive Director
Jewish Outreach Institute