Both the French Drain and the Grid can do a good job of moving water. The following is from personnal experience.
French Drain This is easily the better in appearance. In a well landscaped yard it is the system of choice. I am told this is not a good system if you have heavy erosion problems. This system can become clogged if a large amount of heavy soil is carried by the water.
"Grid" Not as pretty but can handle erosion much better.
I am still researching this myself and will be watching to see what other responses you get.