Do a lot of research online, or describe your various gardens, soil-ype, exposure to sun and wind, rainfall, and zone to us.
We’ll help.
For example, I have a lot of old field where poison ivy grows. Gradually (and carefully) I have planted and transplanted the stuff that takes over – myrtle and creeping jenny (both of which flower in the spring) and bee balm do nicely.
I also experiment. When something runs amok, I rip it up. Ground cover grows horizontally and as such, has shallow weeds. It is easy and satisfying to yank it up by the yard.
However, I live in a rural area and like my gardens ungroomed and unsuburban. When things surprised me, I usually let them do their thing.
Today, for example, I see this through the rain.
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3 That low green stuff is ground cover; in June the boring stalky things on front right and left will be pink roses.
PS. Never, never buy ground cover. Gardeners love to give that stuff away. PIty that you don’t live near me.