You use the rudder to keep the nose pointed at the far end of the runway, you use whatever aileron is necessary to keep the centerline between the mains. Don't worry the details of the wind, use the control inputs it takes to keep the wheels aligned with the runway and right down the centerline.
Yep, one good exercise is to fly an approach to a fairly long runway. Round out at about ten feet or so and hold it there. Now use the ailerons to keep you over the centerline and the rudder to hold the nose parallel to the runway as you fly the length of the runway. Do this in a few different wind conditions and you'll get the feel for it pretty well.
To continue that tip, given a runway of sufficient size, practice drifting from one side of the centerline to the other while remaining aligned with the runway. Have a CFI on board unless the runway is really wide, maybe.That's another drill that helped me a lot.
Pretty much all the posts in this thread are spot on IMHO. Crosswind correction on landing really becomes automatic if you don't think about it too much. The problem with trying to plan it out to the detail level is the wind is always changing, at least around here.
What I do is listen to the weather, I do a rough crosswind calc in my head. Wind 30 degrees off the nose means that the crosswind is half of the wind. 45 degrees means the crosswind is 0.7 of the total wind, at 60 degrees the crosswind is 0.9 (0.866 for the pedantic people )of the total wind. If this number exceeds my personal mins, I find another runway to land.
If I know there is a strong crosswind, I will fly a final that gives me a little longer to get the feel for the correction needed. I shoot for a stabilized approach, this doesn't mean the airplane isn't bouncing around trying to do its own thing, I just make sure I am on a proper glide path, aligned with the runway, at the proper speed. I don't carry any extra speed except for a gust factor, if gusts are above 10 knot delta. I find that if I carry extra speed, I sit forever in the flare, not a big deal, but much more work as the wind ( which is never consistent) tries to move me off the centerline.
So I set up a crab on final, that keeps me on center line. This crab usually decreases as I get lower because the wind speed decreases, usually. Depending on my mood I might transition to a slip at 100 feet agl, or I might do it in the flair. When I was learning, I would be in the slip by about 50 feet agl just so I could make sure my brain was in slip mode, not crab mode.
Now transitioning to the slip makes it sound more calculated than it actually is, so don't think about it just do it because it is simple. To go to the slip, just align the airplane to the runway centerline using the rudder, and keep it there so that the airplane nose to tail is parallel to the centerline. Hopefully you are aligned to the centerline on your approach. Align the airplane, then watch what happens, if the plane moves left due to the wind, counter with right aileron. When you add aileron the nose will start moving right, don't let it, you'll need more left rudder, keep the plane, nose to tail, parallel to the runway. Gently "slip" the plane so it is back over the centerline.
Now here is the rub, wind isn't consistent, in fact somedays, it's direction is variable. What works one second, doesn't work the next. Maybe a gust hits, and weather vanes the airplane, you need to counter that with rudder keep the plane parallel to the centerline, meanwhile the same gust is moving you off the centerline, you need more aileron which in turn requires a rudder adjustment. The next gust hits from the other side so you adjust again.
But it's not an issue if you just stick to keeping the airplane aligned to the runway and over the centerline. Sometimes your feet will be dancing on the rudder and the yoke moving to keep over the centerline. That's just the way it is. Once you accept that, your crosswind landings will be good.
Keep correcting through the flare, and keep the correction in after you land, I go full aileron into the wind after touchdown. Don't forget to steer with your feet on the ground.