Just like with deer and whatever else...bullets matter.

I've had stellar results with a .17 Rem, as well as various .22 centerfires. In anything .172" I'd avoid the 20 grain VMAX as I have seen it stopped by coyote shoulders multiple times. Maybe slowing it down to MACH IV speeds would keep it together better. I dunno.

Most anything else you'll be OK with. The .25 VMAX has been alright, but I can't say I have used it a lot. The 25 grain Rem HP has been absolutely awesome, though I did blow one fox's leg off with it. Never tried the 172" berger.

I've never seen a more effective and fur friendly combo for coyotes than the.17 Rem and 25 grain Rem HP.