I couldn't cut strips without my June Taylor Shape Cut ruler. It has saved my sanity. I didn't understand how to use it at first, but once I figured out how to fold the fabric correctly....well, worked wonderful for me. Following the instructions really helped. I bought one of mine at Wal-Mart, but I am sure Hobby Lobby or Hancocks has one.
Google it and look at it. It sure makes cutting strips (or anything, really) easier. It may be just what you need.
Dina