Republicans have Clubs that are potential resources for recruiting.
Along with these national clubs there are local clubs. Ask your county chairman for information and if you are inclined start going and take literature with you.
National Clubs
Young Republicans
Young Republicans are ages 18 to 40, so you may qualify for this. They tend to be skewed towards NeoCons right now. They have also experienced the same implosion still hitting the whole Republican Party. They were the organization where the ideological battle for freedom was played out in the Goldwater years.
College Republicans
This provides opportunities to recruit on local college campuses. Since members are students the turn over is rapid and they often lack continuity. This actually can provide better opportunities for enlisting activists, so don't view it necessarily as a negative until you check them out.
National Federation of Republican Women
This is the largest club in the Republican Party and historically has done a large portion of the actual work of politics at the grass roots. They get no respect but they are effective.
Pachyderm Club
The Pachyderm Club is relatively new as Republican clubs go. They are dedicated to training activist so that people at the local level understand how to be effective in politics. Clubs are concentrated in a few states but the national organization lays out an easy to follow process for starting new clubs even when there is already one in an area. Their mission is to make becoming an effective Republican activist easy.
Republican Liberty Caucus
This is an explicitly libertarian viewpoint within the Republican Party. It is small but growing. They will make it easy to start new chapters. Ron Paul is a member of this group.
National Federation of Republican Assemblies
The Assemblies are very conservative and there are a lot of rumblings there, expressing unhappiness about the Bush NeoCon Administration.
Log Cabin Club
Gay and Lesbian Club -- Republicans have a big tent.
Take a close look at the Pachyderms and RLC.