A 3x to 9x is a pretty good all around scope, but a 2x to 8x or a 2x to 7x are better choices for most hunters. Even when you are hunting in country that provides opportunities for long range shots, more than 50% of the game you shoot will be taken at ranges less than 150 yd.
A 2x-8x will give you 65 to 75% more viewing area at 2x than most 3x-9x will give you at 3x. So a 2x-7x, or 2x-8x, are excellent for deer, elk, and coyotes out to 300 yd; and they will also give you the option to take quick shots at close range. In fact, at the 2x setting, it will be as fast or faster than iron sights (if your stock fits properly and has the proper comb height) at ranges greater than 25 to 30 yards. Your rifle will become an excellent close range "brush gun" and a long range hunting rifle.
A 1.5x to 6x would also be an excellent and extremely versatile choice on the .30-06 for deer and elk out to 300 yd, and would be even better for quick close range shots than a 2x - 7x. But there are few high quality 1.5-6x scopes available in your price range.
My recommendations are as follows: (Don't let the low prices fool you into believing that these are lower quality optics than the scopes recommended by others. These scopes will perform as well under hunting conditions as any of the other scopes that have been recommended. One reason these scopes are priced lower is that they are slightly lower in magnification than the popular 3x-9x's. Optics Planet has excellent service, very low prices, and free shipping.)
#1 recommendation:
A Nikon Monarch 2x-8x would be ideal on both rifles. Excellent field of view at 2x enables you to take quick shots at 25 yards. No greater magnification than 8x is needed for coyotes, deer, or elk out to 300 yards. Compact, light weight, high quality optics. $300 at Optics Planet.
http://www.opticsplanet.net/nikon-monarch-2-8x32-riflescope.html
A Bushnell Elite 2x-7x would be very good on the .30-06. Light weight at 12 oz. It has the excellent Rain Guard coating that is very helpful under wet conditions. Excellent for coyotes out to 250 yards and deer and elk out to 300 yards. A 45 foot FOV at 2x gives you more than twice the viewing area than many 3x-9x at the 3x setting. $260 at Optics Planet.
http://www.opticsplanet.net/bushnell-2-7-x-32-elite-matte-multi-x-argon-rifle-scope.html
Slightly beyond your price range, but these are incredibly versatile light weight scopes with high quality optics:
Minox 1.5x-8x. 13 oz. 60 ft FOV at 1.5x. Excellent choice of 3 different reticles. $430 at OP.
http://www.opticsplanet.net/minox-za-5-1-5-8x32-lightweight-shotgun-riflescope.html
Minox 2x-10x 13 oz. 48 ft FOV at 2x. Excellent optical quality. Choice of reticles. Although you don't need a 10x scope for hunting, if you want the magnification; you won't have the the disadvantage of a too small FOV for short range hunting. Incredibly versatile scope. $430 at OP.
http://www.opticsplanet.net/minox-za-5-2-10x40-riflescope-za5-rifle-scope.html
There are many great choices out there. But contrary to what many say, you don't necessarily get what you pay for in optics. Often you pay for a name. The scopes I have recommended have excellent optics and will perform as well as the more expensive Zeiss and Leopoulds that have been recommended.
Good luck, and I hope you have many enjoyable years ahead while starting a new career and hunting with your father.