Getting posts to show up in specific pages

I am attempting to set up a site for video/photography. I added two posts which show up on my “home” or main page. I added three additional pages: Video, Photography, About me.
What I can’t figure out is how to get my video posts to not only show up on my “home” or main screen that appears when the site loads up, but to have them categorically show up in the pages that I added that ride across the top bar. I would like to have everything show up on the front page but then if you click into video or photo have those sections strictly showing the media that correlates with the heading. When I post I do not see any way by which to set it to appear within a certain page. Am I going about this the wrong way? Is the theme capable of doing this?