We had the same situation once upon a time and put in french drains
which helped but did not do away with the problem.

We began a series of landscaping modifications which diverted the
water away from the slab and kept the water coming downhill from
making it to the house. These did the trick. I believe the
landscaping would have done the job without all the money spent on
french drains.

Someone also mentioned that the pest control people don't like french
drains. anybody know why?