Does your older house have a dirt basement? If putting a more permanent floor in is not a budget option at the moment, there are things you can do so moisture isn’t as big of a problem. And as an added bonus, your house won’t feel nearly as damp, no matter what the temperature outside is.
First, measure the size of your basement floor. Then go buy a roll of 6 mil poly (looks like clear sheets of plastic – think Ziploc freezer bag weight, but in a large roll) at your local building supply store and place it on the floor to help prevent the moisture from the dirt seeping into the rest of the house through the moist air. Seal the seams with duct tape and you can fasten it to the floor with nails driven into the dirt.
If you aren’t sure what kind of nails or duct tape to buy, ask at the building supply store, they will be able to assist you with the type appropriate for your area.