Or you could just move to the desert. I have a lot of water in the house.. and it's still dry in here. Then again, we really don't have houses with basements here though.
Im building one at the moment and I have an extractor fan from a bath room that comes on with humidity (automatically), and a dehumidifier to go in there. Have heard some real horror storeys about rotting joists etc.
Its a bit pricey but it seems to solve a lot of problems associated with humidity from aquariums and indoor ponds. I have never used this system so I cannot verify any of this info.