A Facebook page, or a website?
Often the page is enough, and most of the arguments against it are weaker than they sound. Here is where it actually stops working.
A real Clay site, built from a Google listing
A Facebook page is free, it is where a lot of your customers already are, and it took you an afternoon. If people message you to book, turn up, and pay in the shop, you can stop reading, you do not need a second thing to keep updated this week.
Where it stops working is the person who is not on Facebook. They heard your name in a queue on Saturday and type it into a phone on Sunday, and what they need in twenty seconds is whether you are open, where you are and what it costs. A page on somebody else's website answers those under a login prompt, in a layout you do not control, at an address you cannot print.
Yours, or theirs
facebook.com/yourbusiness is a page on Facebook's website. It ranks as Facebook, it is laid out by Facebook, and the day the layout changes or the page is locked, there is nobody to ring.
A Clay site is at name.clay.site for nothing, or at your own domain on the paid plan, and the free address keeps working if you later add one, so a QR code on the door does not have to be reprinted.

Keep both, they are not the same job
This is not an argument for leaving Facebook. A page is where you post, where people share you and where a regular sees you on a Tuesday; a site is where somebody decides. Most businesses that work well online have both, and the site is the thing they link TO.
So the honest test is not "which one". It is whether anybody has ever had to ask you for your hours, your address or your prices, because everything they asked for is a thing the site would have answered.

What the site does that the page cannot

Open or closed, in words
Not a table somebody typed once. The line says "Open until 17:00" or "Opens tomorrow at 09:00", computed from the hours on your Google listing, with the whole week under it.

A map with directions
Drawn from the coordinates your listing already carries, with a one-tap directions link. Nobody has to copy an address out of an About box.

Your Google reviews, on your own page
The rating, the count and the reviews worth reading, read from your listing when the site is built. On the paid plan new four- and five-star written reviews are appended by themselves.
In short
Real sites, made with Clay
Open one. It is the live site in a frame, not a screenshot, so what you see is what it looks like right now.
What it looks like when it is live
Drawn rather than described, the page, the address, and what it can switch on.
Questions
How long does it really take?
Most people are live in two to three minutes, search your business, pick a style, publish. There is nothing to install and no signup needed to see your site first, because it is built from your Google listing rather than from a blank page.
Is it free?
Yes. You get a live site on your own name.clay.site address with a small badge in the footer, and nothing expires. The paid plan is your own domain, the badge removed and the pro features.
Do I need any tech skills?
None. If you can type your business name, you can build a Clay site: the live page is the editor, so you tap the thing you want to change. There is no code anywhere, and nothing to install or keep updated, see the WordPress comparison for what that saves.
Can I use my own domain?
Yes, buy it wherever you like and point it at Clay on a paid plan; the certificate is issued for you. Until then the free name.clay.site address is a real one you can print, and it keeps working afterwards.
Can Clay show my Facebook posts on the site?
No, and it is deliberate. There is no embedded feed, an embed breaks quietly the day something changes at the other end, and a dead box on your homepage is worse than no box. Your Facebook is a mark in the footer of every page instead.
Do I have to stop using Facebook?
No, and you should not. The post is how people find you; the page is where they decide. Put the link in your bio and on the page's button and the two point at each other: a link in bio that is a real website.
Can people book or order on it, like a Facebook message?
Ordering, yes on any plan, a basket that sends you the finished order on WhatsApp or by email, with no card charged on the page and no fee taken. Booking is a paid feature: a free site draws the page but the booking itself is refused. Neither takes money for you, a deposit is stated on the confirmation, not collected: how booking works.
Try it with your business
Search your business and see your site in seconds, free, no signup.