See if you can get a local band or two to start performing some of your material. If it’s good, they’ll want it. Musicians are always looking for good, new material to perform.
Enter your songs in a songwriting contest. If your songs are accepted, you may be on the right track. If they win, you just might have something special.
Send a demo of your song to a few local producers or recording studios and request an honest opinion.
Join songwriter groups and organizations, and ask for feedback from your fellow members.
Take a few songwriting courses, and ask your instructor for an honest assessment of your abilities.
Perform your material in places where other musicians hang out. If they frequently come up to you and ask about performing the songs, you may have a few hits.