I think I change my pattern each time I do it, I sometimes spiral out from the centre, but I find the most successful way is to stop, calm it down a bit and try to picture the end result before shooting, then pick the top left corner, shoot down, to the right one, then up, then one across, then back down... etc etc until you end up at the bottom right (or opposite corner to which you started) of the final image. It takes a bit of practice and paying attention to the amount of overlap. But after a few attempts I seem to be able to get a pretty neat rectangle image out of the stitch, which usually just needs cropping.
Sometimes there will be a thin strip where my images don't overlap, and when this happens, photoshop content aware fill can sometimes come to the rescue, otherwise you have to try a different crop or ditch the lot!
I had one amazing pano of an overhanging tree over a gravel path, but forgot (or accidentally deleted) the bottom left image and the photo just doesn't work without it which is annoying. So its not without its difficulties! But when it works you most often find it's worth it.
With regards to my stitch strategy, what do you mean? I simply let photoshop handle it with its automation feature