Congrats, the .30-06 is a great all-around cartridge. As far as ammo goes, I would look on Cabelas or Bass Pro Shops and try out one of the premium grade cartriges. I used to shoot Federal Premium because that particular round is loaded with the Nosler Partition bullet, but I have since changed to the Winchester Ballistic Silver Tips. I would recommend a 180 grain bullet for Mule Deer, but you could get away with a 165 grain bullet if you like.
You might want to take that Bushnell scope off and replace it with something a little bit better. Again, check out Cabelas and Bass Pro Shops and see what fits your budget. It isn't uncommon to spend as much, if not more for your optics as you spend on the rifle itself.