In Bazzite, you should just need to open the Discover package manager and click “Refresh” and then “Update All” in the top right. Although these drivers don’t appear to be available through the package manager yet; mine is still on version 560.31.02.
If your Firefox crashes are anything like mine were, it should be solved by opening up Flatseal and disabling Wayland rendering for Firefox. See the screenshot shown here: universal-blue.discourse.group/t/…/2554
When I first installed Bazzite on my Intel+Nvidia laptop, the Firefox crashes were constant. The workaround here fixed the issue for me.