Looking for plant suggestions

I would put some landscape fabric down and put some stone mulch down to tidy up the whole area.

A ground cover like snow on the mountain or sedum will usually do well in any soil if u prepare it with some mulch mixed in. Nettle takes a better soil but looks great in between the rocks. I have all 3 around my pond and they keep the weeds down very well.

There will always be maintenance no matter what you do. As previously mentioned, a weed barrier and mulch will control weeds, but seeds are blown in or dropped by birds so there’s no weed proof landscaping. You can research ground covers for your planting zone and admend the soil to help it thrive and choke out the weeds. Below are some design ideas using stones And gravel. Wood mulch could also be used.

The ideas above are all good. Clean out what you have first. You may be able to kill off what you don't want by pouring vinegar on it. Lay down some landscape fabric if you can. (Sometimes old newspaper will also work to stop the weeds.) Once the area is clear, put in some fresh soil and then groundcovers like sedum (there are many varieties in pretty colors) or moss or sweet Williams or even pansies or Hens & Chicks.

https://www.laspilitas.com/garden/groundcover.html

I love Inetia's pics. While she is correct and those landscape layouts are beautiful. When finished, adding preen on top of whatever you decide to do will help with the blown in and dropped seeds they mentioned. You apply every few months and it's a big help for stopping seeds from sprouting! Good luck and i hope you'll share your "after pics".

We had juniper planted around ours. It blurred the edges to the concrete which I liked very much. Sorry, no pics because this was two houses ago.

Ground covers are a very good way of covering the area but see what will grow in your area also in the kind of soil you have. Some ground covers don't do well in very hot sun temps, some only grow good in the shade. So its best to check with your local garden center before planting.

Old style is creeping phlox, grows slowly and forms thick mat. Another one I've seen is Basket of Gold. Grows faster so may need some cutting back. Do NOT use any kind of Ivy; it will be crawling up walls and trees. Chokes the other plants out and damages any wall it climbs on, does little to deter weeds. To me it's as bad as kudsu.

How about some succulents? Aloe and cactus don't require a lot of care or water and are very pretty.