Consumer Reports had an article on drying out one's basement in the June 2002 issue. They listed 10 methods.
Inside the House:
1. Apply waterproofing coating to walls as a temporary fix
2. Use a dehumidifier to reduce potential for mold
3.Consider French drains
4.Install a sump pump to move water outside from interior drains
5. Patch foundation cracks
6. Check plumbing pipes for leaks
Outside the House:
7. Divert the rain with clean gutters and downspouts
8. Waterproof the foundation with an exterior barrier made of plastic or rubber
9. Install drains outside the foundation wall
10. Grade the soil to slope away from the house
In addition, CR directs you to the web site for the National Association of Waterproofing and Structural Repair Contractors at www.nawscr.org
One other word of caution for those with older homes. Older homes were often tiled with tiles (typically 9in.X9in.)containing asbestos and/or adhesive material containing asbestos.Before digging in your basement, have the tiles/adhesive evaluated and/or removed to prevent a potential asbestos problem (I did not do this and now face an asbestos clean-up in my basement, which cost more to fix than original problem of water seepage).