[63corvette]

I was also guilty of not changing mine a few years ago. I asked the same question and received many different suggestions. What I used was not fast but very effective.
My master cylinder is higher than any of the brake calipers so I used the gravity feed suggestion.
Pull all the wheels and trace the brake lines to see which brake cylinder is the fartherest from the master cylinder.
Drain the master cylinder using a turkey baster and fill it as full as possible with fresh brake fluid and keep it full as the fluid bleeds down during the process.
Move to the fartherest wheel brake cylinder and open the bleed and let the fluid free flow out.
It will be slow. Mine took 2 to 3 hours to bleed enough of the old fluid out until I noticed the color change.
Close the fartherest bleed off and move to the next fartherest brake cylinder and repeat the same process. Then to the next and so on until all wheel cylinder are flowing clean new brake fluid.
It took most of the day and almost two quarts of fluid however, I had other work on the car to do while letting the fluid bleed.
This worked for me and I did not need to go back and bleed the wheel cylinders any further.
I had good brakes after the change out.
Just my experience which worked for me.
Rick Cates
Canyon TX