My first .30/06 was a Rem 760 (One model earlier than your 7600) pump gun. It is a very accurate reliable rifle. Very good choice for a woods gun in states where semi autos aren’t allowed for hunting.
The barrels are free floating and accurate enough for varmint hunting. I took a lot of woodchucks with mine using light bullets when I lived in woodchuck country.
Ram Line used to make 10 round plastic magazines which weren’t very good, in my opinion. I tried a couple hard to find steel magazines, but was unable to find one that fed reliably. If you find any, I’d appreciate knowing where I can get some.
I’d suggest picking up a couple of 4 round mags for spares and forget about the larger mags.
Incidentally, Remington’s semi auto series, the 742, 7400, or the mod 4 are fine rifles as well. The mags are interchangeable with the pump gun except the auto magazines have a bolt catch feature built in.
The .30/06 is a fine choice of caliber as well. Bullet variety is awesome. You can load it to hunt anything on this continent.
I normally load 130 grain to 165 grain bullets for deer, depending upon whether I'm hunting whitetail or mule deer.
Enjoy your new rifle