jepcho, I also opt for the Savage. Like maybe a model 111 or the model 11. They're not real pretty, but they shoot great and thats the bottom line. My last 3 rifle purchases have been Savage and the more I shoot them the more impressed I am with them.
As for caliber selection, for what you are going to use it for, whitetail, coyotes and maybe mulies, I would opt for either a 7mm-08 or 270 or the 30-06. These are plenty of muscle for these critters. And, probably too much for coyotes. You don't need a belted magnum for mulies as many would have you believe. My favorite deer rifle (mulies and whitetail) is my Remington 700 in .270. It has never failed me yet with Nosler 130 gr ballistic tip bullets.