I don't think PR would change peoples voting habits. I've no answers as to how it could be done either.
Easier postal voting got a few more people voting for a while, however overall the percentage voting at local level is on the downward trend. Whether this is because of increased checks is uncertain.
Voter photo ID, last time round didn't make as big a dent in the figures as was feared.
If for example you live in a Tory stronghold - like Deal and Dover where I last voted, your vote really has no value unless it's a Tory vote -and that's been the way for years. So if you're anything other than Tory, why even bother going to the polls?
At least with a PR vote, my one Green vote will get amassed with others up and down the country and we might get some representation and influence in the house. In that scenario there's a value in getting engaged with the process....
At the 2019 'Tory Landslide' victory, The Cons got 43.6% of the vote and 56.2% of the seats in Parliament. Labour, Lib dems and Greens got 46.3% of the vote (more than the Tories), but only 32.9% of the seats! How is that right?
Instead of an 80 seat majority and a Tory free-for all we could have had a much better balanced government, or a non-Tory coalition.