I have a very similar problem--I call them my "ape arms." For me, I have the biggest problems with long-sleeved t-shirts and blouses that button. Sweaters are usually not a problem. Are you also tall? I'm not--I'm 5'5".
One thing that helps me is buying my clothes in number sizes, rather than S, M, L, etc. Generally, tops in size 4 (US) fit me very well, but size smalls are way too short in the arms. When I'm shopping for coats, suit jackets, buttoned collar shirts, etc. I tend to not even look at them unless the sizes are numbered. Maybe that will help you too!
I've been really surprised by how companies choose to size things. For example, AT and ATL almost always size blouses and coats using numbers, but Banana Republic uses SML sizing for blouses and coats.