The OSIRIS LUTs are film emulations, so if you want your footage to retain that emulation they should go last in the stack. You may want to break the emulation for artistic reasons, but grading afterwards means your "Prismo" footage isn't Prismo-colored anymore.
In terms of color correction inside Ae, you have a bunch of bundled low-level effects (curves, tint, levels, etc.) but the most powerful
Ae-specific tool is the included copy of Synthetic Aperture Color Finesse LE (see tutorial at
http://tv.adobe.com/watch/short-and-suite/color-finesse-workflow-primary-grading-part-1/ ). You can also get third party add-ons like Colorista from Magic Bullet. Which you prefer is a matter of taste and familiarity for most people - they all do the same fundamental things.
If you have a CC subscription then you also have Speedgrade - which is now Adobe's primary application for digital cinema color correction and grading. It's more powerful than the Ae plugins, but has a significant learning curve.