Registering with a doctor in Scotland

I am back to finding a GP practice that will accept us as new patients and I am again struck by how the system could and should be so much better. Principal criteria are: (a) are they already full to capacity and (b) does one live in their area? Surely I should be able to type my address into a website and be provided a list of practices to call. There's a national health service, after all. Instead, I am calling one place, having another suggested, having that place say, no and suggesting the place that suggested them, etc. We'll register somewhere but this should be far easier on everybody.