I think that plants that have a tendency to be invasive make the best ground covers. Unless you plan to purchase a lot of plants, or seeds and have to wait and wait and wait for them to fill in the areas you have chosen, slow growers might not be ideal.
Do you need the ground cover for a full sun, dappled sun, or partial shade spot? Are you looking for something drought tolerant? Will you be walking on the ground cover? Do you have specific flower colors in mind? How high do you want the flowers and plants to grow? There are a lot of plants that work well as ground cover in a variety of soils like stonecrop, periwinkle, strawberries can be used as ground cover, clover, thyme, chamomile, etc. I personally like the edible ones the best, but you can also mix and match so you can even have blooms of one color early in the season and another color for the end of the season.
In my experience, you do not want to get the stonecrop if they will be planted in areas you want free of bees. Of all the plants I have grown, stonecrop brought the most bees to my garden. This was a huge problem for me because I was extremely fearful of bees, but wanted to take photos of the stonecrop flowers. Waiting for the bees to leave my garden in peace was futile. Surefire way for me to get over my fear of bees. I've taken hundreds of photos of them without getting stung. The bees were too busy getting all the nectar to be bothered with my presence since I did not attempt to swat them away. Now, I am only occasionally afraid of bees. Best and cheapest therapy ever!
Not sure how to post one of the stonecrop photos I added to the plant database, but may as well try now.