I think a lot of mythology has grown up around the care of meerschaum pipes. If you're absolutely obsessive about developing even coloring on the bowl, you should touch it as rarely as possible while the pipe is warm. (Yes, some people wear a white glove. . . but that's going to extremes, I think.) If coloring isn't that critical to you, treat it as you would a briar while smoking. It may not end up looking beautifully caramel/brown in ten years, but only you know how important that is to you.
As for the inside, I'd just recommend folding a pipe cleaner in half and using it to wipe once around the inside of the bowl to prevent any cake build-up, which can seriously damage a meerschaum. And then, of course, run a pipe cleaner through the stem and shank, as you would for any other pipe.
If your pipe has a screw-in tenon, be very careful about over-tightening it, which over time will put your stem out of alignment with the shank.
NEVER use any liquids to clean a meerschaum.
Those are the essentials, I think.
Bob