Mu-se is a dusty town full of trucks heading to/from Jiegao in China, is short of tourist sites and is really just a place to transit on your way to/from China or for those involved in border trade with China.
Shopping and dining options are limited and not particularly good, while nightlife is virtually non-existent. If you can make it to China or just came from China, you'll want to leave Mu-se as quickly as possible either for points further inside China or further inside Myanmar, i.e. Lashio, Hsipaw, Pyin Oo Lwin or Mandalay, all of which offer far better accommodation, food, things to do and better value for money than Mu-se does. Even Ruili across the border offers far more for the average traveller than Mu-se does. However, Mu-se has the potential to transform itself once the border crossing to China becomes an international crossing and could become a useful base for trekking, excursions to places like Namkhan, tribal villages etc. should the security situation allow.
With nothing much to do in the city, Muse serves as a transit point for travellers coming from China or heading to China (provided they have a visa and other required documents).
Soon this crossing will become a major international overland crossing for travellers wishing to journey overland between Mandalay and China. The journey from Mandalay takes 10 hours by car and more by bus - I came for business but if you come for pleasure you'll probably want to spend at least 2 days travelling between Mandalay and Muse in each direction, stopping off at places such as Pyin Oo Lwin, Hsipaw and Lashio along the way, which have more to do than Muse.