Pretty daffodils. People dig "in the green" all the time. You can dig them up, but be aware they might be deeper and a bit sideways than expected. If they are in fluffy bedding soil, you might be able to wiggle your spade to the bulb while gently holding the foliage and slowly pull/dig it out. Otherwise, in compacted soil, you might need to dig a big hole around each cluster to avoid chopping the bulb and then tease apart the bulbs from the soil. You can replant immediately.

I've replanted both before and after blooming. Mine have bloomed fine either way although ymmv. I don't know how you will find the white bulbs in fall - it might be better to move after blooming.

Be prepared to have more flowers pop up next year due to bulblets that did not bloom this year.

You can dig them up now and transplant them.

There was a time when I would have had to fan myself at the thought of someone digging up a daffodil at flowering time. I am glad to say that I am over that now.

The only way to be sure of dealing with the ones you want to deal with is to have concrete evidence that those tops belong to those bottoms.

A friend of mine and I went around the daffodils in my garden and we marked very carefully the ones she most loved. We drew maps. We moved rocks. We had arrows pointing in correct directions.

Later, I dug up the daffodils - when everything had died down and was fast asleep.

Well, a week or two ago out popped three yellow autumn crocus - Sternbergia lutea. Lovely, but they are not daffodils. So it will be interesting to see what else she gets.