How does White approach?

How does White approach the lower right corner when it is the appropriate time? First with Black at P3 and then with Black at O3.

Thanks!

I left a few variations.

Please note that these are to the best of my knowledge, I’m actually not sure on the exact points, but I based on what I remember, these are some of the “approach” moves.

How does the “probe” work?

Thanks!