No fixed process, depends on the context.
Easiest is general countryside landscape photography. I'll start with rise (or sometimes fall) if needed to get the framing I want. Then it's front tilt to figure out my plane of sharp focus, unless there are many tall, straight objects (trees, poles,etc.) at different distances, in which case I just stop down the lens aperture. I might do a tiny bit of back tilt to emphasize the foreground a little, but really very little, as I don't like this technique becomes obvious in the photograph (this, of course, is a matter of taste and style, not of process per se).
Urban landscape is also simple. Generally, it'll be just rise to get the right framing, and also to eliminate converging line in tall buildings. No other movements are usually necessary, but I might use a little back swing if, for example, I want to sligtly modify the perspective of the side of a building.
Things get more complicated if I need to have the camera at an angle — for example, when point it downwards. First thing in that case is to figure out where I want the film plane (i.e., its relation to the subject), generally through tilt. After comes the front tilt (or swing, in some cases) movement to figure out focus. This situation, to me, is hardest, and longest, to figure out. Happens, for example, if you want to photograph stuff lying on a table from a specific angle and simply using fall doesn't cut it.
Portrait movements are more complicated to systematize, as the totally depend on style, i.e., on how far you're willing to go and experiment in terms of the focusing possibilities that front and back tilt allow. Same can be said for still life.