The Discourse.org hosting plans are exactly that – complete hosting of your Discourse forum. Open an account and you’re up and running. You’d then add links to the forum on the organization site.
By default the new forum will live at an address like TownSqHOA.discourse.group.
The $100/mo plan allows you to optionally connect the new site to the organization’s domain (working with someone with access to the organization’s DNS settings) so you’d have forum.TownSqHOA.com or similar.
The software can be self-hosted by those with technical interests and knowledge, but the paid hosting plans are turn-key easy.
Configuring and administering a forum does take some study and work, though. A lot can be learned here in topics like:
If you prefer to hire someone to help with setup and administration, you can post in: