Forcing application to go to selected window on startup

I run a multi-monitor set-up on a single "Desktop". All of my applications when opened run on the primary monitor, which is the smaller monitor. I would like to have some (e.g. browser, mail client) open on my secondary, with others (e.g. IRC, terminal, etc) on my primary.

I'm unsure if there's a method to do this natively or if this requires coding, however I'm happy with either solution.