XL319,
The best way to learn winds and crosswinds is to get out and fly in them, just as you're doing.
The way you respond to the wind will vary with the type of airplane you fly, and the nature of the wind in which you're flying.
What I do most commonly see, however, is that new pilots naturally make too many control inputs. It's very easy to feel as if you need to respond to every single bump and ripple in the air. I feel the same way. Sometimes it takes a conscious effort to resist making too many control inputs. I often find that pilots do more to fight themselves through the airplane, than they actually do the wind.
On the ground, you may well have to put in opposite aileron, depending on the direction of the wind in relation to the airplane.