Getting rid of bermuda grass in garden, especially veggie and strawberry bed.

My new last year strawberry raised bed is getting a mat of bermuda grass started in it. Pulling and digging doesn't get the root many times. Can I put a pre-emergence on it next spring? Do not like to use chemicals, but the bermuda grass is such a pest in gardens, a never ending trying to pull it out!

Help from you Master gardeners

Cindy