Crosswind techniques are not much different for EZs. One exception would be takeoff since you have the combination of a castering nosewheel and no prop flow over the tails.
In a stiff crosswind TO, you need to keep the nose straight but at the same time let the aircraft accelerate without you dragging the brake too much. At the beginning of the roll, I jab the brakes as required (aircraft accels between jabs) unil the aircraft gets fast enough for rudder authority--at which time I hold enough rudder without engaging the brake.
If you are taking off from a long and wide runway (with a very stiff crosswind---beyond limits), you can line up on the downwind side, jab the brakes thru the initial takeoff roll, and let the aircraft move towards the upwind side of the runway. This lets the aircraft get a little bit more acceleration (shorter takeoff roll) and saves the downwind brake somewhat.