Picklehopper, I definitely agree with "growing up" ! anything that vines, grow on a trellis. My garden is essentially the same size as yours; my tomatoes are caged, pole beans grow on a trellis, cucumbers grow on a trellis, squash grow on a "hoop trellis." You can also grow quite a few things in containers such as flower boxes hung on the garden fence, if you have one; my garden is surrounded by a low fence, on which I hang flower boxes that straddle the top 2x4 to grow lettuce, chard, and other herbs and greens in. And I've found that arranging the garden in "beds" about 3 feet wide and planting those beds more or less according to the square foot gardening principles is very effective in saving space. Larger plants, like tomatoes, you can water by using soda bottles with the bottom cut off (or something similar) stuck into the ground by each plant and filling with water as needed. Of course, you can also buy much more sophisticated watering gear, but at any rate getting the water directly into the soil is always better than "spraying."
Succession planting is another space saver; grow bush beans, pull them out and plant broccoli (which you have started from seed indoors) -- or some such arrangement that suits your conditions.
It would probably be helpful if we knew what zone you are in ! Hope you have a great gardening season