While I have no experience with the 25-06, I have a lot of experience with the Handi 30-06. I use mine to hunt here in Alaska. I have taken Moose, Caribou, Black Bear, cayotes, and lots of wolves with my 30-06 Handi. I shoot a 165gr Sierria SPBT for everything from Caribou down. For Moose and Bears I like the 180gr Nosler Partition. I will not hesitate shooting a Caribou out to 500 yards. Wolves on out to 600 yards. I take 700 yard shots at wolves occasionally, and when I hit one it's mine. Haven't had one go farther than 40 yards after being hit, but usually they are dead on the spot. I also like the 125gr Speer TNT for plinking, and shooting groundhogs out of the garden. Too explosive on Foxes, but great for cayotes.
I hand load all my loads for the 30-06. I have the Handi sighted in for 300 yards. I like to shoot 4" clay targets at 300 yards. I have been using a Shepard V-2 6X18 scope.