Quick Tips:
After going inside the fire gompa, fill your water bottle from the spout (it's on your left as you go down the steps). This is the same water which flows under the temple, and which the sacred fire burns upon. I drank it for a month, and it's exceptionally sweet, fresh and invigorating. (Of course, it's best to purify it before drinking.)
If possible, get a Buddhist guide to take you around Muktinath, since 3 out of 4 of the temples are Buddhist. Still, take your guide's answers with a grain of salt unless you know them to be particularly well-educated about the site. I spent many hours listening to guides invent stories or give inaccurate info--probably out of the best intentions, not wanting to disappoint the tourists' curiosity. It's better to ask a nun, if possible.
Please buy souvenirs and supplies from the nuns' shop (just inside the main gates). This helps support the nuns, who live entirely on donations. I watched the nuns walk through snow in thin socks and sandals, and do their laundry in the freezing stream. Your extra change makes a huge difference in their lives. Each gompa also has a donation box.
Best Way To Get Around: