Get W10 at some point in 2016 since it's free and will have many years of support. DX12 games will ultimately benefit from it. People hated W8/8.1 but besides the tile interface & lack of native start bar, imo W8/8.1 was better than W7 in almost every way. It's much faster to use imo and I always liked W8 more than W7. I am going to upgrade to W10 before the deadline but it makes no sense to stay with W7 imo.
Also, grab
15.11.1 drivers as they should improve FO4 performance. FO4 is just a poorly optimized game.
The fact that this mediocre looking game / engine can't even hit 60 fps at 1080P on an HD7970Ghz is more to do with Bethesda's inability to code rather than AMD's drivers because the game isn't exactly flying on NV cards either (i.e, the trade-off of GPU power required vs. graphics in FO4 is attrocious imo) and neither is it great looking.