How can I post different posts on different pages/menu points?

Hi all

I know this has been asked before, but I just can’t get my head around what to do exactly (I’m rather new to wordpress).

I have a static front page (Theme: Twenty twelve). Works great.

I have a page called “Blog”. In settings/reading, I chose this as my “Posts page”. Also works great: All three posts are there.

Here’s what I’d like to do, but don’t know how: I’d also like to make a page named “Travel” and a page named “photography”. These pages should also display posts – but not just ALL posts, but those related to these topics. (if at all possible, the posts in these two categories need not appear on the Blog, i.e. the designated posts page)…

Can anyone help me/point me in the right direction?
Thank you!