You may want to register a trademark, copyright, or both
A trademark protects your rights to a design that identifies your business. A copyright protects a logo as an artistic work. If both sound like what you need, you can register each.
Trademark
Benefits of a trademark registration:
Have legal evidence of ownership of your trademark
Gain exclusive rights nationwide
Be entitled to use the registered trademark symbol (®)
Copyright
Benefits of a copyright registration:
There's a public record of your copyright claim
You have the ability to sue infringers in federal court
It may be used as evidence to prove ownership of your copyright