UK
You could definitely run this type of business from your home, set up a shop like area to work from and it'll work out great! As for advertising word of mouth and social media are great ways to promote new businesses get accounts on facebook, Instagram, Linkedin, Twitter etc. all forms of social media will help. There's a new business networking site https://www.winwinusa.com its where businesses connect and share ideas, this would also be a great way to advertise your company, network and gain recognition. I hope this helps, Good Luck!
I am thinking about studying an NVQ in Make up/ Beauty and I was wondering whether I could be self employed and run the business from home? If so how would I advertise? How would it work with tax?