1. You need to cut the wrap at an angle to get the straight edge. Second, when you put the finish tape on, keep it flush with the end of the wrap - don't overlap it onto the bars. The point of the finish tape is to keep the tape from unwinding, not attach it to the bars. This makes for a much cleaner finish.
2. At the bar ends, you need to leave more than a little wrap off to stuff inside - like an extra complete loop. The proper "stuffing" process assures a clean and solid finish.
Good luck.