Aggregating news feeds

I need to be able to gather news feeds concerning our town from a variety of sources and display them on our news site. I want to be able to pick and choose which headlines to use from each feed, rather than just having all of them show up by default.

I've been testing the Feedwordpress plugin, but it doesn't appear to allow any editing of the headers.

I'm sure this could be done with some code other than a plugin. I'm starting to research this, but if anybody here has any bright ideas, I'm all ears.