Both look like they could be sedges, Carex species. Grasses and sedges are difficult to ID without seeing the flowers/seedheads. A lot of Carex species bloom in the spring, so these may have bloomed already. You should post them again when flowers are present. The leaves on both plants look like hundreds of other species, and there are no noticeable characteristics that stand out, except maybe the very long leaves on the sedge in the 1st photo. I have a sedge in my garden that looks almost identical to your 2nd photo, and I won't know what it is, until it blooms. I agree they both do look ornamental.

I also have a Carex that looks like your top photo. The blades are real long and look like hair. The leaves on the bottom plant look somewhat like nut sedge, and others might suggest that as an ID, but it's a nice sized clump, like my clump, and nut sedges usually show up as single plants, so I think it's something nicer and ornamental.

If the sedge in the top photo has unusually long leaves/blades/strands, resembling long hair, it might be able to be ID'd without a flower. You would need to measure how long the blades are though. It looks like they are very long in the photo. The leaves on the bottom sedge look like a lot of other sedges, so that plant needs a flower for an exact ID.

Thank you. Ill look out for flowers next year. In the meantime, would it be safe to transplant either now or are they spring-planting grasses? i’d like to move them out of s path snd use as a groundcover.

You can move them now, but keep them watered, and shade them from hot sun for a couple weeks. They will still need sun, so provide shade during the hottest part of the day.