If you are wanting to start a new website, I'd suggest that you use Pages on FB. This way you can link your FB pages to your website. Each time you add a new post to your site, it will appear on your pages. On your website when a person subscribes and follows your pages, they will appear on your website as a subscriber to your site. The two are linked together and it makes it so much easier to handle and keep updated.
I find out on some group pages there is a lot of spam and self-promoting on these pages. You want to keep your site clean and keep away from spam. Furthermore, when you set up a page, you'll receive a daily activity long once a week to let you know how your pages are doing, how many visits, how many new subscribers, and how many new topics have been added. They send this to you in an email once a week.