Re: remington 700 police
I have a Rem. 700 PSS in .308 and it is a good all around cartridge. Since you asked about the scope, it all depends on how far you want to shoot, how good your eyesight is, etc. I have a Leupold 4.5x14x40mm Tatical and when I'm target shooting (paper punching) and have time to dial up on a game, I'll move it to 14x power. Sometimes I don't feel it's enough for longer ranges, but in a ideal hunting situation, you usually don't want to high of a power.
If your going to hunt big game up to several hundred yards, then you could possibly buy a Super Sniper in 10x power. If you want some more magnification, then you can go with a 20x power, but you'll have less of a field of view. You can also check on several websites to catch good deals on variable power scopes that may fall into your price range.