I wrap professionally and have for over 20 years. Although I do own a power wrapper, it gathers dust ... I still wrap 99% of my rods by hand. Wrapping by hand allow better control and finer work, IMO.

One thing and one thing only will improve your wraps/packing ... practice.

As noted above, keep about a 5 degree angle so the thread wants to naturally pack and nudge when needed. It will all come together for you and become easier, just keep at it.

Jim -