Like the others have said, it' s tough to get one rifle for two very different animals. For the rabbits, a Ruger .22 rimfire is a good, light gun. Get a scope if you' re going to sit a wait for the rabbits, a 410 shotgun is good for on the run shooting. For the coyotes I would get a Ruger 22-250 with a Browning 3*9 scope or higher with a purple tinted lens for low-light shooting. These guns are only about 5 pounds and shoot very well.