unless your house is really old, chances are you already have all the recommended exterior waterproofing. Don't be surprised if after digging out your foundations you pull out a clogged drain tile and/or a deteriorated waterproofing membrane.
As you can see... they are not working. They are not handling the hydrostatic pressure.
Therefore, you've got two choices. You can go ahead, have someone come, dig around your foundations, re-install the French drain and re-apply the membrane (or, do it for the first time if your house has none) and probably have to do it again later on because French drains clog.
Or, you can have a perimeter drainage system installed along the interior basement walls, diverting the water to a sump pump system, that can be installed quickly, without ruining your yard, serviced as needed without disrupting your life, and will allow you to finish your basement just as well.
Whatever you choose, please make sure you pick a good specialized foundation waterproofing contractor, ask for references (and check them), check their reputation with the local BBB, make sure there is a decent warranty for both products and services.
A hint: pick someone who's been in business for a number of years, because that indicates a higher probability that he will be around for the long run, to honor the warranty.
(What good it is to give you a 100 years warranty if they are going out of business in 2, right?)
Well those are my thoughts... hope it helps.
Here's some additional info: