As a general rule, barring health issues, it is best to begin as late as possible.
But under certain circumstances, it makes sense to start as soon as you're eligible for full benefits.
For me that was 65y2m, but I had to wait for 67y2m and got about 10% more starting benefits.
“For me that was 65y2m, but I had to wait for 67y2m and got about 10% more starting benefits.”
That’s Social Security and hasn’t got anything to do with Medicare.