Bessie I know anemone flowers are not known for being a good cut flower.
I don’t grow many anemones for this reason. But I love Bloomquist Ginnie and Golden, and grow both of those and sometimes throw them into my household bouquets. Ginnie cracks me up, because she doesn’t really fade or droop or shatter when her vase life ends. Instead, she’ll look great until one day you’ll hear a “plop” and look over and the entire flower head will have simply fallen off the stem, all at once, completely intact.