At this time of the year the leaves should be turning yellow (or brown). When they do that is when you can pull them up. If you pull up any bulbs out when you remove the old foliage just replant them where they were.
I always leave my bulbs in the ground. If I want to move some of them to another location I did it about this time of the year. Bulbs "stored" in the ground do much better than stored anywhere else. No matter how well they are stored they tend to dry out when not in the ground.