Hi, all.

I am afraid I'm asking for a fantasy plant. I want one that spread quickly but not be invasive. I don't mind a vine as long as it doesn't climb up trees or walls (however, I wonder whether a vine will choke out the grass/weeds). One of the beds gets bright morning sun until about 11:00 and the other two get it for longer, with one getting sun all day. I would be most happy with foliage plants but if they flower, that would be fine too.

Any suggestions?