Weed Control in Vegetable Gardens

We've got a job to do this winter!!  The weeds are a nightmare right now.  I have been opposed to using any chemicals in my garden, but unless I get a new back, I'm going to have to resort to chemicals this winter!

http://www.ces.ncsu.edu/hil/hil-8101.html

"For all-purpose weed control when no crop is present (either in the fall, later winter, or early spring), use Roundup (Ortho's Kleenup). This material, applied over the top of weeds, will kill all weeds. Do not use this material when crops are present or serious injury will occur."