Can you recommend an effective weed spray that's less toxic than Round-Up?

I’ve cleared out all the vegetation along the perimeter of my front yard to get ready for new plantings. There’s a rich growth of weeds, mostly sourgrass, in the border areas. (Also in the lawn.)

What can I use to get rid of them without spreading some heavy poison?

There’s also a cluster of mini-daffodils that are starting to bloom right now. How can I spare them while taking out everything around them?