Move “Posts” to a newly created Page

I’ve created a new “Page” and would like to move all my “Posts” to that page but I don’t see a path to doing so. I would also need for new posts to default to show up on this new page as well. Anyone know of a way to accomplish this?

Right now all my “Posts” show up in a “Category” but it’s not associated with any particular “Page”. If there’s a way to simply move that category over to the newly created page that would be a faster way but I see no path to doing that either. Any ideas out there?