I agree with the method that bn3baby suggested although from the looks of it, the rounded front of the Paci looks like it could be too wide for the handle to go around it correctly, that is what I would worry about. As for hitting your mouth, if you do it as suggested, it shouldn't be any different than any other paci with a handle, just make holes in the sides where the front decorated area meets the mouth guard. There is likely enough frame holding it together, that two holes shouldn't stop it from holding together, I have never done it before though, so I can't promise anything. As I said though, I would be worried about the handle being wide enough.
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If you are wanting a handle for the use of a paci clip, then maybe you should try something like this first.
http://www.amazon.com/gp/aw/d/B00EM5D0YM/ref=mp_s_a_1_22?qid=1434038684&sr=8-22&pi=AC_SX110_SY165_FMwebp_QL70&keywords=pacifier+clip&dpPl=1&dpID=41fDxhT47VL&ref=plSrch