You need a landscaping plan, not edging. Planting beds can end at your patio but you need plants in them.

I agree with Ikloes, create a plan. A landscaper or nursery will best recommend species and placement suited to your soil and lighting.

Your stone backround is a really nice feature.

You don’t mention size of your patio or adjacent space. Here’s a video of ours.

https://youtu.be/yh0ZL-PwsMQ

I’d personally do grass in the whole yard and some trees and outdoor lighting