I like the idea of a black or white background, with gold lips (similar to these attached) but with the business name ‘Lip Rejuvenate’ running through the top and bottom lip. I like the idea of the letter ‘I’ in lip being red in colour to break up the black and gold. Or red lips on a black background with the logo in gold. These are just ideas but I am open to other ideas, simple but effective. I also like the idea of just the logo name and possibly without the lips. I currently already have a logo for my other business, Scalp Rejuvenate which is also attached so would like similar colours to this please. 
Many thanks,
Daniella