Desktop and laptop combo

[rotmaster]

Hello, I am currently looking forward to making a laptop/desktop combo. I want your opinion, I want to see if it is best to get a high-end gaming desktop computer, to stay at home, and a smaller laptop for mobility (university, various classes, transport, etc.)
I don't really feel the need to game outside of home, maybe just some photoshop, movies and programs that do not require a LOT of gpu on the go. Although, I want to have a strong gaming rig to be sure to enjoy high fps, lag free, gaming time while at home.
I would like your feedback on this, your best choices for mobility laptops that have, if possible (matte screen for no sun glares, and a backlit keyboard) and your best choices for gaming desktops, I have a budget of about 1500-1800 in total for my setup. I already have a mouse and a monitor.
Thank you so much for helping me sorting my ideas out.

 

[TechyInAZ]

You can make a small mobile computer, but to use it on the go is impossible. YOU NEED a laptop.

 

[rotmaster]

Yes, i would like a laptop, and a gaming desktop, because I find gaming laptops pretty heavy to carry around. Maybe I didn't express myself clear enough.

 

[TechyInAZ]

Oh I see, yeah your point wasn't clear.

You can make a compact desktop, do you want something more thin and wide or cube shaped?

 

[rotmaster]

Oh, the desktop size doesn't matter that much, I just want the best quality/price for a laptop and for a desktop to go along with.

 

[TechyInAZ]

It's a pain to have a big case to carry around with you, so something compact like this I think is worth the extra money:

You still looking for a laptop?

PCPartPicker part list / Price breakdown by merchant

CPU: Intel Core i5-4460 3.2GHz Quad-Core Processor ($176.88 @ OutletPC)
CPU Cooler: Noctua NH-L9i 57.5 CFM CPU Cooler ($42.66 @ Newegg)
Motherboard: ASRock H97M-ITX/AC Mini ITX LGA1150 Motherboard ($89.99 @ SuperBiiz)
Memory: Corsair Vengeance 8GB (2 x 4GB) DDR3-1600 Memory ($48.99 @ Newegg)
Storage: Samsung 850 EVO-Series 120GB 2.5" Solid State Drive ($66.26 @ Amazon)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive ($47.78 @ OutletPC)
Video Card: EVGA GeForce GTX 960 2GB SuperSC ACX 2.0+ Video Card ($200.99 @ SuperBiiz)
Case: Silverstone RVZ01B Mini ITX Desktop Case ($78.99 @ SuperBiiz)
Power Supply: Silverstone 500W 80+ Gold Certified Fully-Modular SFX Power Supply ($94.99 @ NCIX US)
Total: $847.53
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2015-09-12 12:55 EDT-0400

 

[rotmaster]

It looks like a pretty solid build! And yes, I am still looking for a laptop.
Thank you for the great help.