Recently while playing fallout 4 i've encountered a stuttering issue when moving and first it happened every so often but now it won't stop.

If anyone can help,that'd be awesome

There's a large thread about this and other movement related issues http://www.gamesas.com/topic/1548922-movement-bug/page-2#entry24949592. I'm hoping that it's not just your controller like some others have found so Bethesda will actually look into fixing it. This bug is killing me, I've been reduced to just building up my current settlements because it makes battles quite difficult.