Besides the great advice on this thread, we found a great solution (but I can't stress new blades and accuracy enough!)
When you hire or bring new team members on your staff, you'll find that some of them really enjoy weeding, and take pride in doing it quickly and efficiently. That (to me- and to our manager) beats almost anything else. Because when you don't enjoy weeding (or are not very patient or detail-oriented,) the next best thing is to find someone who is. And believe me, they're out there!
We just recently hired a great design/production staff member who enjoys weeding quickly, cleanly, and efficiently. That's made our lives much better!
Good luck!