Some small birds can fit through chicken wire, get some with small holes, or cover it also with bird netting; or use hardware cloth instead. I doubt bird netting alone would keep out squirrels and chipmunks.
Yep, I was wondering if it was really small birds eating all those strawberries. I think I might have some hardware cloth in the shed. I can't get inside there for a number of weeks yet as it is under about 2 feet of snow at the door. Not worth my time and effort to shovel all that snow just to take a peek. I do have some bird netting that I took off the chicken run that might work. But, like you said, a hungry squirrel or chipmunk could easily chew through bird netting. Good idea to use both the chicken wire and the bird netting. Thanks.