FINALLY!! Someone who knows what I'm talking about!
Thanks, J&Em!
Those 2 links were very helpful and interesting! I just didn't know to look up the word 'solarization'
Thanks, Butterfly, for your input, too!
To some of the other posters.......
I already said I'm not going to dig it up. I can't. I'm 53 and have some physical problems. And even if I could, I do not want to disturb the soil right next to my 112 year old foundation! Besides, there are TONS of stubborn, deep roots. Why make it harder than it has to be??
I will spray RoundUp soon. Then, when the days get hot, I will cover it all tightly with the plastic for a couple months. Then I want to plant only 3 small shrubs and lay down some mulch for a nice clean look. This whole bed is next to my house and visible from the street.