The Internet represents a world of festivals at your fingertips. I've cataloged over 200 festivals and there are more out there. Do a search. Review entry forms, websites, newsletters, etc. to get a good grasp of what it takes to submit your work in a particular festival. Budget - Plan to spend some cash, but be smart about it.
Most festivals have entry fees so be selective.
If your subject matter covers a notable topic, see if you can get a sponsor. But make sure you feel good enough about your piece to have others pay to submit it in competition. Be Honest - Take a critical look at your piece and compare it with past winners. If the answers are yes to these basic questions, then you stand a chance. If the answers are no, save your money for another production.