[Ozzello]

WIll not likely become invasive without a LOT of shade..as in a full canopy oak shading the entire area. Also will likely freeze back or even die in many of our winters in TV.
As a fan of the plant as a groundcover, you could plant it in the spring, have a great look through to winter, and sprig out from the survivors the following spring, as frost will surely destroy a portion every year.
A full sun location will not work well no matter what, and it is an acid loving plant and will not like the alkalinity of your natural soil or growing over rocks..so.. mulch only and a lot of shade or choose something else.

Depending on sun and if you have stone or mulch, I would use a minima or Asiatic jasmine, or aptenia ice plant (my favorite). Not a fan of per. peanut or mimosa strigillosa for the typical Village home landscapes, as in smaller bed areas and with the alkaline soil you have, they would be a difficult plant to keep looking good most of the year. They look a little like you planted something from the woods in most home locations I see.

Minima jasmine is the best bet if you want to do this only once and you are not sure on what your sun or soil. It does have a couple veriegated varieties for some color.