You don't need to remove all the tape. Just make sure that, in a month or so, you make a cut in the tape with a knife near the buds, so they can brake free without problems.
I always use parafilm on my grafts to wrap the scion. When i need a firmer tie, for instance, with whip and tongue grafts, i use natural rafia (or, in alternative, green tape, like the one used by florists - but just to tie the graft.)