Cutting the Angels Out

Dec 6, 2015
110
92
Canada
Hey everyone! I'm trying to make a gaff card where the angels on a standard bicycle card are rotated 180 degrees.
I've considered cutting the entire circles surrounding the angels out and somehow attaching the circles back in. Have any of you tried to accomplish something like this, and how?
A better idea might be to split the card and cut only the layer I need out.

My biggest worry is cutting a smooth, accurate circle. Back when I first started magic there was a YouTube vid talking about using a coin as a guide, but I can't find it anymore. What have been your experiences with cutting circles, or what would you suggest using as a guide?
Thanks!
 
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