Tanning stuff? HA! Not in Taiwan, the whiter the better! I really doubt you will find anything like that.
Just google gyms, beitun district I do not use them, but there is one near you. There is also worlds gym in a few locations.
Only hairdresser I know charges between 125-250 USD a cut, you want his info?
"Knowledge alone is transitory, the outcrop subsequent to 'I desire all things'". - A. O. Spare