When I allow my cakes to cool at room temp they stick to the board. So when I go to move it it wet and sticky. How should I cool them in the pan in the fridge???

this is what I do.
I start with the cooling rack. once cool i either wrap them in sanan wrap or put the cake back in the pan and cover the top with saran wrap. then regardless i stick the cake in the fridge for a few hours or overnight till i am ready to decorate.
then when i put them on my cake board i can just unwrap or flip it out of the pan and i am ready to go.

Hi sugarbee, when the cake is cooked, I take it out and let it rest in the pan for about 5-10 minutes. Maximum will be 15 minutes. Then I turn it over on to a cooling rack and let it cool completely. ones its cool, wrap it in baking parchment/greas proof paper and then wrap it again with saran wrap/cling film.

I have to say that I never put my cakes in the fridge, unless I use it to make a different shaped cake.

HTH.