Still working, or already retired

Those are different rules. If you or a spouse is still working, whether you can delay Part B is on The 7-month window and Still working at 65?. If you have already left the job, coverage from that employer is no longer current-employer coverage.

COBRA, an HSA, and retiree coverage

COBRA and some retiree plans can look like they replace Medicare. They often coordinate with it instead. An HSA contribution generally has to stop once any part of Medicare starts. Confirm with the plan sponsor and with Medicare.gov before you enroll or delay. COBRA vs Medicare at 65 and HSAs and Medicare Part A are the details.

After Parts A and B

The choice between Medicare Advantage and Original Medicare plus a Medicare Supplement (also called Medigap) is on Medicare Supplement vs Advantage. This page does not make that comparison.

Free counseling

For free Medicare counseling, call HICAP at 1-800-434-0222. The full note is on the Los Angeles County page.