I used a trick I learned from an arboretum in PA.
When planting my bulbs, I sprikle baby powder or talcum powder in the hole . I've not had problems with having bulbs dug up after this method.

When using powder, make certain not to inhale it! It is harmful.

That's one I had not heard before, and it sounds cheaper and less trouble than the other remedies. Thanks Carol.

Here's two other suggestions I have had:
1)forget about crocuses. They are Mr. Squirrel's favourite, and he will find them no matter what.
2)do the bulb planting as close to the first snowfall as possible. I don't know if that would help, though.

The chicken wire (make sure it's a type with really small holes) is staked down over the whole flowerbed as soon as bulbs are planted. You can either leave it there permanently (especially with small bulbs like crocuses) or remove it when the bulbs sprout.

Thanks Sunandshadow for your interest in this problem.
I don't see how I could put chicken wire over the whole beds, since there are plenty of perennials in these beds as well.
Unless I used the chicken wire in small pieces? would that work? and also, what would you recommend for a stake with this method?

I don't think putting them in small pieces would keep the squirrels out. Chicken wire is intended to be put down when 'building' a flowerbed from scratch. You can clip holes in it if you want to put a larger plant here and there, but the more holes there are, the more squirrel entry points there are. Standard stakes used are landscaping staples (a big piece of metal bent in a U).

If you want to put just a bulb here and there, bulb cages might be more what you are looking for. This is a chicken wire container about the size of a drinking glass, a tulip bulb is place inside then the whole container is planted. For crocuses you could use a sideways tube or box and put a row of 3 or 4 crocus bulbs in it.