*Get the i7 + GTX770M.
I think both the GPU's mentioned are fairly similar, but the Intel CPU's are more power efficient, as are the NVidia GPU's when compared to the AMD equivalent so I think that laptop would run quieter.
I'm pretty sure the Intel CPU is more powerful than the CPU in the APU you listed.
AMD has the "advantage" of being Mantle compatible but we're not at a point where I can award that much points.
NVidia has its own advantages:
- PhysX
- Shadowplay (game recording)
- G-Sync (for new G-Sync monitors. It's really awesome tech to make games run very smooth even at 40FPS.)
- Shield
*One thing I'm very interested in is STREAMING to an HDTV. You currently need the mobile SHIELD device but apparently a dedicated cheap unit is coming to connect an HDTV remotely through the NVidia graphics.
SCREEN SIZE?
That's up to you. If in doubt I recommend the 17" since you said you don't need to move it much.