Without knife skills, how can I quickly and accurately dice vegetables?
Try a mandoline. If you're not familiar, it's a gadget that has a horizontal blade for slicing as you slide food across it. Most have a dial that allows you to adjust thickness or to create julienne or "French-fry" shape. You can then just do one more chop to turn the "fries" into dice. 

Aside from that, I'd be remiss if I didn't make a plug for improving knife skills! :)


practice practice practice! It's worth the time investment.
class! I took a 2-hour knife skills class at a local kitchen supply store. I went from mediocre to slightly-better-than-mediocre knife skillz in no time! You'll learn some tips and tricks to make it go more smoothly. 


Good luck.