It runs very smoothly on Bluestacks, but it may eat some of your resources. And setting it up may become a pain since it may use the weaker graphics card. But I got it to work and I can tell you the pros/disadvantages:
PROS:
- better and more precise movement
- no overheating + battery never runs out like on the phone
- connection should be more stable
- key shortcuts can be added ( for example: press 1 to build a rifleman, press 2 for a misslesquad, ... )
DISADVANTAGES:
- Moving mouse across whole screen might take some valuable time
- Screen is bigger, you may miss details happening on the map
- unless you have it running constantly you won't get notifications if your crate has arrived
- can't play at a friend's house (unless you got a laptop)
- better graphics ( a bit )
You don't really get an advantage on a PC. The only really bad thing about phone is missclicking because of fat fingers, this gets prevented on PC. For the perfect Rivals experience, I recommend a tablet.
EDIT: It automaticly censored "C.O.N.S" lol, I'm going to type it 3 times now look: * * *. It turned into a " * " xd