I've never gardened before and would like to start a small (4' x 8') vegetable garden this year in our yard. I'm hoping to plant sugar snap peas, tomatoes, cucumber, zucchini, and possibly watermelon. We're renting our house, and the yard has quite a bit of ivy (6'-8' border) around the edges of the backyard. Someone has apparently had a garden in the corner of the yard before, as there is still wire around the garden and wire trellises in the plot. By now, though, that area is completely overgrown with English ivy.
I'd like to plant our garden in the previous garden plot, as that's most convenient for us in terms of location. I was planning to uproot the ivy using the white vinegar method as cited here: (How to Get Rid of English Ivy in the Landscape) for several weeks in a row. As I'm pregnant and have two toddlers running around, I'd rather not use toxic herbicides. I'm concerned about the surrounding ivy growing into the bed, though. I've read about two general methods for growing - double-digging vs. raised garden bed. Both are equally difficult for us to implement, with the raised garden bed being somewhat more expensive. Will either be better in terms of preventing the surrounding ivy from infiltrating the garden? Or is there something else that I should do in terms of getting rid of the ivy?