Welcome to the Forums.., hope you enjoy!!!
I'd go with the tape if I were you.., especially since you are dealing with a very nice new knife. Dulling the blade isn't that difficult if you've done it lots, and know how to dull/restore the edge, but it sounds like you're sort of new to all this????
Another viable alternative would be to pick up a "beater" like a Jaguar Balisong ($15-$20 if you look around the net). You could just dull the edge with any common file.., and use this as a "Beginner Balsiong".., until you get enough feel so you aren't slicing yourself up so much

!!
The Jag is a heavier piece than your BM.., so it would feel significantly different. On a positive note.., the additonal weight will also build tendon strength a little faster as you learn various manipulations, as will practicing the exercises on Clay's site.
I'm sure you'll get plenty of advice from these guys on here also..., everyone is really supportive and willing to chip in with whatever has worked for them personally. We've all been there.., so just keep plugging

...., and pick up some Neosporin on the way home for those cuts

! <~~ That wasn't sarcasm, it really works well!!
See ya...come back and let us know how you are doing!
Clay's site (if you didn't know)
http://www.BalisongXtreme.com
"Hunters seek what they [WANT].., Seekers hunt what they [NEED]"