Kill mulch for bittersweet and ivy?

Around the edges of my garden seem to be a little out of control.  I have bittersweet, ivy, and some weird sort of mini rose that are just growing out of control.  I considered going crazy one day and digging it all up, but I am about six months pregnant right now so that just isn't going to happen.  I have been collecting large cardboard boxes to lay down in the pathways of the garden but I think I could probably use them as a kill mulch for these weeds.  I'm not sure that the weeds aren't too much for this sort of a thing, but I am ging to give it a try.

The spots I am trying to fix are along the side of the house and along the side of a retaining wall.  What I did was to dig along the edge of the concrete and bury about four inches of the edge of the cardboard perpendicular to the ground against the concrete.  Then I folded the cardboard down so that the rest lay flat on the ground.  As the fall comes along I will bury the cardboard with leaves and other yard waste to weigh down the cardboard.  Hopefully this will smother all of these weeds and I won't have to spend time cutting them down all next summer.  Tune in this spring to see if it worked.