Help with connecting new monitor to laptop and PC

[LoganR]

Hello everyone.
Sorry for the long-winded post, but I'd like to connect my new Asus monitor to both a gaming laptop and a desktop PC but am a bit confused as to which cables I should use.
The new monitor has one DisplayPort 1.2 port and two HDMI ports.
The laptop only has a single HDMI port, while the desktop has both HDMI ports and a DisplayPort.
The desktop will always be connected to the monitor for daily personal use, while the laptop will only get connected to the monitor for occasional gaming.
I'm confused as to which cables to use with the two different kinds of ports. Here are some possible options I see:

1) I One dedicated HDMI cable from monitor to desktop and a second HDMI cable from monitor to the laptop.
2) DisplayPort cable (both ends) from monitor to desktop and HDMI cable from monitor to laptop.

Are there any other options to consider? Would I want to run a cable with DisplayPort connector at one end (monitor) and HDMI connector at the other end to the laptop for best display performance?

Appreciate any input on how to proceed.

[Boomchakadah]

option #2

[Dalek]

Option 2, but what refresh rate does your monitor have? some displays will work up to 144hz with HDMI and 240hz and above with DisplayPort.