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You can dig them up and store them, after the leaves have died back. Then store them in a cool dark place away from vermin. Remove the cormlets when/if you do, and plant them in pots in the spring - they take up to three years to reach flowering size. I leave my Gladioli in the ground and they come up again.

I'm leaving mine in the ground this year to see if they come back, as they were free anyway. Previously I have dug them up as Spritz say's once it's all died back. I brushed off the dirt and stored them in a wooden try with a piece of paper over the top. then planted the following spring.