One of my favorite methods to weed is to use a large propane torch; the Red Dragon brand are commonly available at places like Northern Tool, or Fleet Farm. If you're seeds haven't sprouted you can go fairly aggressively over the entire area, basically kill everything that is growing. If your seeds have sprouted, you can lay a segment of metal gutter, or something similar over the sprouts to protect them as you go. Oscillating stirrup style hoes are also pretty handy. They are also commonly called scuffle or hula hoes. Ammann and Glaser make good ones. A good sharp bladed hoe will clean up a garden quick. As far as mulch, I prefer oat straw. I have a trac vac grass collector that I use for collecting grass for border mulching, but I try not to put clippings into the cropping area.