You might benefit from a web presence but that doesn't have to be a Facebook page. This is worth a read:
https://www.agorapulse.com/blog/5-reasons-not-to-create-a-facebook-business-page
When scouring the web myself (both for my own use and also when trying to answer questions on AB) I've encountered countless Facebook business pages and, to be honest, the vast majority of them have left me considerably underwhelmed. They look like exactly what they are, which is a few scraps of information that were hastily cobbled together ages ago, making it difficult to find key information, and with no updates of any form for ages. Such sites actually deter me from using what they're seeking to offer, rather than encouraging me.
As an example, I particularly dislike pubs which only have a Facebook page (rather than a 'proper' website). Trying to find things like their food menus can be tricky (because you have to work out that they're hidden deep in the Photos section) or totally impossible (because the pub owner hasn't bothered to upload them or can't work out a way to do it so that they can readily be found). If I'm searching for a pub to have lunch in when I'm visiting a strange town I usually give up trying to get sensible information from Facebook pages and only consider pubs that have got easy-to-navigate ('proper') websites.
Creating a business page on Facebook is easy; creating one which genuinely promotes a business really well is extremely difficult. If you want a web presence I'd strongly advise you to register a domain name and get yourself a proper website, rather than trying to save a few pounds and going with Facebook.