Your question is too general as you don't mention if the plants would grow in sun, shade, etc. How large (length/width)the space in front of your house is.
Anyway, you may want to drive up W. Francis St. and turn into the parking area just past the Chief Ladiga Trail and visit the Jacksonville Garden Club's demonstration garden.
"Mount Rubble" is a lot steeper than a looks. It is planted with cacti, yucca, agave, etc. Other areas of the garden have plants that would also qualify as ground cover.

{{gwi:366319}}

I apologize. The flower bed area in front of my house is approximately 40 feet wide by 3 feet deep and is in full sun part of the day.

The area on the hill behind my house is approximately 100 feet wide by 40 feet deep and is in full sun all day.

I am looking for a ground cover that would cover the soil. I'd like a ground cover that would conceal weeds and take over the area so weeds couldn't even compete.

Thank you.

Thanks for all the help.

You may want to check out Loropetalum chinense 'Purple Pixie'.
You may also want to visit Bloomin' Miracles nursery on White Gaps Rd., 435-2717. They may have a suggestion for the hill.