Kill the grass. Remove the grass. Plant groundcover.

LOL!! The above is about as concise as one can be :-)) However, the method by which one kills/removes the lawn grass can have different time frames associated with specific methods. The fastest is to use a sod cutter, a mechanized piece of equipment that has a blade that goes below the turf and severs the root system. If you set the cutting height properly, you can replant with the groundcovers the same day. Other methods may take several weeks to a month or more before one can replant.

Is it easier to remove the sod if you use roundup first?

Hey Red Berm, not everyone knows about gardening, I just bought a house and never used a lawnmower in my life, I'm not an outdoor person in the least.

Also are there groundcovers that can be planted by sowing seeds? I don't care if you give me specific varieties, I can research this.

"The fastest is to use a sod cutter, a mechanized piece of equipment that
has a blade that goes below the turf and severs the root system. If you
set the cutting height properly, you can replant with the groundcovers
the same day."

The only small problem is that any grass with rhizomatous roots will start growing back immediately, too. ;-)

Kill the grass in the area where you want groundcover with glyphosate. After the grass is dead enough to plant in plant your rooted groundcovers. Spacing will depend on how many starts you can afford to buy. Spread Preen or other weed preventer according to label instructions. Keep well-watered but not overwatered.

Wait. It will probably be next year before you see significant coverage. If you can afford it pea gravel will make it look nice until coverage is achieved.

Concerning your question about groundcovers, car, I've never grown any by planting seeds. Instead, I've bought some groundcovers that are known to reproduce prolifically. For example, I've grown soapwort (Saponaria ocymoides) and let it go to seed after blooming. If you leave the seedheads in place, they'll drop to the ground and give you tons of babies. In addition, Veronica pectinata will spread quickly and form additional roots so you can dig out chunks of it to plant elsewhere. In other words, you can propagate groundcovers quite economically.