There are a couple of ways you can do this George, I have a pair of smallish tin snips that I use on the larger pieces that I can hold in my fingers. I snip the part from the frame at the from side so that you still have a small tail to snip off. This you can then cut right next to the part. A good pair of small scissors, like sewing or straight nail scissors will also work.
For the very small hard to see parts I lay the frame on a sheet of glass and take a very sharp knife blade, preferably one that had a curved sharp edge and cut through the joining strip right next to the part. On most of the Eduard latest PE, the join at this point is very small and soft. Hope all this makes sense.