That's what I meant about not enough information --may lead to a host of recommendations, which could be appropriate and inappropriate. Arugula, I suppose I don't know for sure whether your desire to replace lawn is enthusiastic but somewhat naive (at this point) or that of someone who really knows his site, climate, size and condition of space to be planted, f/u maintenance, and can end up with a marvelous lawn alternative (along with that, need to know the various lawn grasses for your area, in that lawn grasses can't all be lumped as higher maintenance, as noted by gottagarden). But your posts sound more like you're just starting to learn about groundcovers and growth habits. So I'd just be cautious about jumping in with a lawn-eradication plan based on what you learn from a few posts here. BTW, replacing lawn with groundcover or other plantings in not naive or wrong in itself at all--it's just that it can be a lot harder to "get it right" than a simple lawn, and so need to go at it--planning, installing, and maintaining-- with more knowledge than a grass-owner may need to know. Plus, there is a lot of "hype" out there currently--magazines go blah blah blah--about how John or Susie replaced all their awful front grass "so we don't have to mow". Most of these spreads are extremely high maintenance. Some of the western/desert xeriscaping, however, is really cool and low-maintenance. Anyway, the hype has led to a lot of posts from beginning gardeners about how they want to go do that tomorrow, all by themselves--hence my being a bit on the alert. So without photos of the area you have in mind, or hearing more experience in your posts, I just think that you may either need some professional on-site input about what are the best options, or may need to do some more legwork yourself. Typical actions that can help are: reading up more on growing conditions, groundcovers, xeriscaping; driving around your area to see if anyone has planted anything remotely like what you're contemplating (obviously, sometimes you can't find it because no one else is brave enough to do something different, but sometimes it's because it isn't that practical), look on the internet and in books for info and photos on groundcovers, lawn-free yards, and so on. If I've misread the situation and/or made things sound overcomplicated (I do tend to be cautious and detailed), then please forgive.

Maybe I'll try that with my bush cherries too. I haven't planted anything under them except for daffodils because I wanted easy access for picking without worrying about stepping on plants but I may try flowers on one side and leave open access on the back side.

"If the OP wants a ground cover and has space I can't see much objection to it" No doubt. And agree they are very pretty, just not the kind of team player I cultivate and I get my fill of them driving by uncultivated areas. The OP says "in my garden..." As far as opinions go, all of the plants in the pics (except the bulb that belongs to the long blades in the 2nd pic) would be composted @ my house... as I obtain/propagate other plants to take the space.

Well it’s pouring out right now, pretty badly actually so I don’t want to run and check...but looking closer at the pic it does seem whiter on the backside from what I can see? So maybe you’re right...is this something I should pull, or just let it die out?