Spring planting

I'm trying to plan a way to grow some veggies in my partially shaded back yard. I've had some success in the past planting tomatoes and bell peppers in containers.

If everything works out, I'd like to build some new beds in the sunniest spots in my yard. I would love to plant more tomatoes and peppers, jalepenos, herbs, and onions. My grandfather plants a HUGE field full every summer, so we always get lots of corn, peas, beans, potatoes, etc. But I get so much joy out of planting things myself. And, there never seem to be enough tomatoes to go around!