Health insurance for self-employed people: Your Options in Texas (Guide #8) If you're searching for “health insurance for self-employed people”, timing matters. This Texas-focused guide explains what typically changes, what to do first, and how to avoid gaps in coverage. Quick answer Most people have a limited window to enroll after a life event. The right next step depends on whether you qualify for a Special Enrollment Period, your household income, and when you need covera