if I try Basilisk and the extensions and such that I'm using in Palemoon are compatible, is there some easy way to import, export, or otherwise get them from one to the other?
(I don't really know about PM/Basilisk extension specifics, but...)
I would think that most if not all extensions should work in Basilisk too.
You can simply drag them, the .xpi, one at a time, from your PM
Profile folder/extensions/ into a Basilisk window & they should install.
(That
installs the extension, just as if you installed it from online, but that does not copy over any extension settings. Those, if needed, you'd need to do manually, or search through prefs.js & make the corresponding changes in Basilisk.)
(The extension folder might have a "guid" rather then a "common" name, but about:support should give you a mapping of guid->name if you need it.)