Hello there and welcome! Probably all the users of Trisquel started their
journey with computers as users of proprietary software. There are some
sacrifices to be made but I for one find that a price I pay gladly.
Trisquel mini is aimed at older hardware. Your brand new machine will easily
run either. But it's also a question of personal preference. Try them both I
say.
Hardware is tricky. I can immediately say your AMD video card will not work
(You will not get accelerated 3D or accelerated video and perhaps other
things.). AMD doesn't provide a fully free stack to use their hardware. Your
wifi might not work, however should this be the case it's easily worked
around with cheap new wifi hardware.
Since you've already made your backups, plunge right in!