Since you have an existing basement (as opposed to having the house under construction), for the inside, I'd consider the B-dry or Basement Dewatering System. It's the least disruptive to an existing basement. In short, there's not 'piping' to do on the inside except for where you pump out water. Make sure your pump can push the water up the heighth you plan on using. And when the water gets outside, make sure it's being dumped at least 3' from your foundation.
AT the same time, you should check your gutters and downspouts for leaks, and make sure the downspouts are working. During the next heavy rainstorm, put on some boots and grab an umbrella and take a walk around your house. Check that your gutters aren't overflowing or leaking. Check that the water coming out your downspouts is not running back towards the house. They, too, should be 3' or more from the foundation. If you have any negative slope, it needs to be corrected. Also, if your downspouts run underground at the foundation and come out some other location, you need to guage whether or not the water coming out is proportionate to what's running off the roof. In other words, do your best to guage if the underground piping has cracked/broke, thus, leaking water.
As far as what to do around the exterior of the foundation, again, if you have an existing home with finished landscaping, this can be very disruptive. Crushed stone and perforated pipe, BOTH flexible and non-flexible, is used. As a general rule, you can use solid PVC along the foundation if you have soft soil to put in, say, more than 1/4" slope per foot. First dig, then lay in filter fabric, then put in crushed stone on an angle of at least 1/4" per foot, then more crushed stone, then cover with the 'lapped' fabric, then cover with dirt. On the downslope end of the pipe, collect the water and run it to the street or far away from the foundation to a collection pit (filled w/gravel) where the water can leach naturally into the ground. Or whatever ...
To get more technical, a french drain consists of perforated, solid, PVC pipe and needs to be installed around the exterior of the foundation. The exterior drain pipe should either drain to daylight (as previously mentioned) or to a sump pump depending on your lot and its groundwater conditions. the exterior drain tiles should be placed in at least 1' crushed stone with the holes facing down. Also, the exterior pipe should be covered with a minimum of 3' crushed stone, wrapped in filter fabric. Use poly sheet, builder paper, or tar paper to separate the stone from the foundation wall and cover the stone so it slopes AWAY from the foundation. Backfill over the stone with dirt and slope it AWAY from your foundation.
If you have any other questions, post up. My best to ya and hope this helps.