At any appreciable range, both the .44mag and the .30-30 will be marginal on moose. That said, if you keep your shots within range (under 100!, if not under 75yrds), either one will kill a moose.

I'm a huge fan of the .44mag, I have both in short lever action carbines, two Marlin 1894 .44mags (one stainless one blued), and a Winchester 94 trapper in .30-30. Here are the pro's and con's as I see them...

The .44mag uses a much heavier (240grn vs 170grn) and larger diameter (.429" vs. .308") bullet than the .30-30. While that means great knock down power at close ranges, it also means that it sheds velocity much quicker.

The .44mag can get essentially the same muzzle energy as the .30-30, and uses less powder to get there. But, to get that much power from a .30-30, you buy ammo off the shelf, to get it out of the .44mag, you special order it from one of 3 companies, or you roll your own.

The .30-30, because of the lighter slug is flatter shooting than the .44mag. Neither is very flat, but the .44mag at long ranges is more like a 3pt shot than a fastball across the plate. (Like I said, for moose, you should be limiting your shots to well under 100yrds for either of them).

So, all things considered, do what you do. The Savage .30-06 will be a good rifle, and either one of the .44mag or .30-30 will be a good choice and a joy to shoot, even for moose (Neither would be my first choice!). Your .30-06 will be a really capable rifle for anything in North America.