Tanoan country Club offers several different levels of membership, it also has tennis courts, seasonal swimming pool and a clubhouse. If the gated country club community does not appeal to you you may want to look for homes in the Sandia Heights, North Albuquerque Acres and High Desert Communities as well.
Since you are moving from out of state you can also contact the Albuquerque Visitors and Convention Bureau. They will send you a relocation package to help familiarize yourself with the individual neighborhoods.
You can reach their website from the link below: