Hi there,
I work in my local FE college as a lecturer (not in beauty) and for a lecturing post you will need to have, or be willing to work towards a PGCE/CertED (post graduate certificate in education/certificate in education). It's exactly the same course, but you will only be given the PGCE if you have a degree.
My college delivers the course in association with University of Glamorgan, so will employ you without it based on your experience, it it will be part of your contract to complete the course in a set time period. We did it part time, so it was one day a week for two years. You have to complete micro teaches (short 15 min sessions to your class peers) and will have to have a placement and complete observed teaching sessions.
They do offer other posts to get your foot in the door, like an instructor role, where you only need trade experience.
This is how it works with my college, others may be different. Have a look at some lecturer posts advertised in your area and see what qualifications thay would expect. Or give them a ring and ask. If you can become employed by the college first, they will often pay for you to complete the PGCE as part of your CPD (that's what happened with me).
There are opportunities to teach for a specific brand. I'm doing a Young Nails course in August with my local mentor. They have information on their website on how to become a mentor and teach using their products, sure other suppliers have something similar.
Have a good look round, do a lot of research and when in doubt, ring the places you are interested in working and ask.