Many independent Indoor Cycling Studios hire Instructors as independent contractors, not as actual employees. This creates a situation where you aren’t covered by the studio’s general liability insurance policy – you’ll need to get your own insurance to cover you if (God forbid) anyone was to get injured during one of your classes.
What you’ll need is a Fitness Instructor Professional Liability Insurance policy. Many of us have questions about this so I’ve posted an interview with an insurance company representative linked above.
P.S. The post includes information about where I purchased a policy that saved me $58.00 from any of the other insurance providers I’ve found, including the insurance offered through ACE and IDEA.