When will the covid vaccination be available to the public so that we can reopen, and I can get on with life?

It's becoming more unclear every day for some reason. 

Unless you are an essential worker, over 65 or have preexisting health problems either 

early or late summer depending on how fast other vaccines get approved 

As if you have a life to go back to. Don't worry, whether you get the vaccine tomorrow or three months from now or a year from now, nothing is going to change. You'll still be surfing the internet with one hand long, long into the future. 

when all the priority-groups have been vaccinated

It may take months....

Summertime if you are not in a priority class. 

It depends a lot on where you are.  Here in the Yukon Territory, most of us have had the opportunity for our first shot already.  I had mine 2 weeks ago.  In other places, only seniors, or health professionals have had it.  In still others, no-one has yet.

These things take time!  It will probably be the Fall at least before most people are immunized in Western countries.  Then, the rest of the world would need to be done.

What country do you live in?   It is already available to the public in the United States, England and most of Europe.