Many aspects of fairway wood fitting overlap with driver fitting. These include shaft fitting, grip size, and face angle. There is no need to repeat that here.
However, one area that is different than driver fitting is the face height of your fairway woods. Many golfers have trouble getting fairway wood shots up in the air far enough for maximum carry distance. A shallow face on a fairway wood makes getting under the ball and getting it up in the air much easier. For an example, look at the KZG 3 wood on the equipment page here (click link). It has a low profile face which promotes confidence by putting the center of gravity of the head well below the center of gravity of the ball.
Using a Fairway Wood from the Rough
Golfers who hit a fairway wood out of the rough usually use a 5 wood or higher. With a low profile fairway wood it is easy to go completely under the ball when it is sitting up off the ground in the long grass. To avoid this mistake, there are two solutions. One is to learn to address the ball with the head of the 5 wood at approximately the same level off the ground as the ball and return it to that position at impact. The other is to have a 5 wood with a significantly deeper face that your 3 wood. That makes it more unlikely you will go under the ball when trying to make contact. It also has the effect of slightly lowering the shot height when you hit a 5 wood shot from the fairway.
Fairway Wood Shaft Characteristics
One other way to get the ball up in the air more easily with fairway woods is to use low flex point shafts. Low kick point shafts tend to hit the ball a little higher than higher kick point shafts. Depending on your swing timing, they can also give you a little more distance.