SPOCKED and I were dealing with a few water issues last winter in the basement. I know it's cold, but there are a few things you can do to try to prevent the water from collecting now (you don't need to wait until spring or summer):
Get cement caulking. It's in the masonry section of your local home store.
Get a masonry chisel. They're usually only a couple of dollars, in the same area.
Find the cracks in your basement. On the walls, on the floors. You might need to do some cleaning/rearranging to really see all of these.
Then you should use the chisel to cut a small mason's key wherever you see cracks. That is, cut inside of the crack a little deeper horizontally than the outside of the crack. That is so when you inject the cement caulking, it will seal a lot stronger than if you just filled the crack as-is, which might just crack all over again!
Set up a space heater or two in whatever part of the basement you're working. This will help the masonry to cure. This part is optional---we didn't have a problem, esp with the masonry caulking.
Seal the cracks with masonry caulking.
For big holes, you can use Great Stuff Expanding foam. That's usually found in the insulation section. We found it works quite well!
For areas that seems to be ALL little cracks/holes, or seem to be very permeable in general, buy a small bucket of water-stopping hydraulic cement in the masonry section of your home store. Mix it (usually four parts powder, one part water) and use a concrete trowel to spread it levelly over those permeable areas.
Let cure. This takes a few days in warmer weather, but in cold weather could take a couple of weeks.
Once cured, vacuum the area of tiny particles.
Buy some Masonry Dry-Lok with an anti-mold additive (you can ask the person at the paint desk of your home store to put in the additive).
Buy rough-grade, thick-knap rollers. Roll the paint on your walls. Make sure the area is absolutely dry first! Try to warm the room a little while you do this, as it will help the paint dry faster.
Put on a second coat, making sure to fill all cracks and crevices.
Voila! That should help seal your basement, and protect it from mold/mildew.
When summer comes around, you should consider other options for protecting your basement, given your location. Just a sump pump might not be enough, and sealing cracks and holes, while it can do a lot, might be like putting a bandaid over a gaping wound.
Here's some resources:
Masonry tools
A video on how to repair cracks and leaks in basements using hydraulic cement