A carbon tax with dividends would solve that problem. It would be a net positive for the first 6 or 7 decile of the population while still sending a strong signal to the markets to switch to greener alternatives to stay competitive.

Regarding moving production abroad, the carbon tax should work hand in hand with a border adjustment mechanism.

You can look at how it has been implemented in Canada: https://en.wikipedia.org/wiki/Carbon_pricing_in_Canada