First, cover the wood outside- top and a bit of sides. Keep water out.
Carpenter ants attack relatively wet wood, or die, once brought in.
I've never seen termites in firewood, ever, in NE USA. Spiders, however
will survive the trip into the house; if they're a problem, wear
gloves, and remove them outside. Watch out for Brown Recluse.
Stacking wood inside, where it would receive some heat radiated by the
appliance, does 2 other good things- dries the wood some so it burns
better, and humidifies the house some, which is a real good thing in
Moisture content of wood is affected by temp and RH of storage area.
The higher temp indoors will help keep the % moisture in the wood down.
Dehumidifier would not seem advisable.