Yes, but wait until the leaves have almost died off. Keep the bulbs somewhere dry, don't forget to label them. Replant tulips in late Nov/Dec. No need to do this with Daffs, though.

And water with half strength tomato food whilst the leaves are dying back which will take 6 - 8 weeks. We don't lift any bulbs from the open garden unless we want to move them elsewhere or move them on to someone else's garden.