I love .44 Magnum. I've got a 5" 629 Classic and a 3" "Bounty Hunter". For carry/defense, I use 240 grain Hyda-Shoks in the big one and I'm trying to decide between Winnie 210 grain Silvertips or Cor-Bon 165 grain JHP in the shorty.
I'm unimpressed with the ballistics of Speer's "short barrel" .44 Magnum load. All they did was water .44 Magnum down into, heck, .45ACP +P range. If that's as much as you want to shoot, you may as well get a 625 and get the benefits of moonclips and cheaper ammo.
However, if you're new to sixgunning the .44 is probably not the best choice. While a full sized gun like the Redhawk will be an utter pussycat to shoot with .44 Special cowboy loads, said loads are not commonly found and are expensive, often more expensive than regular .44 Magnum. If you're coming from a background of shooting 9mm/.40/.45 exclusively, the .357 is a better choice, as you can work your way up from .38 Special, to .38+P, to mild .357 (most 158 grain loads), to mid-range .357, (most warm 125 grain loads) to real .357 as sold by Buffalo Bore and DoubleTap.