A 44 special, loaded at the standard pressure of 15,500k using a heavy bullet like a 250 keith, will give you slightly less recoil than 357 magnum but more than 45 automatic. It is easy to handle, but, those big bullets shove on both ends. Up that to the Skeeter load and you're getting similar to 357 but with a shove rather than a quick jab. Full bore 44 magnum is 3 times what a 357 magnum factory load is. I'd go between before jumping right to magnum level loads. But, that said, if you have a big and heavy gun with rubber grips, its much more controllable.
I was able to jump to 44 mag using rubber grips on a SBH, but I ultimately settled on lesser loads as my standard working loads. Most of those being standard 44 special to the skeeter level loads.
I've never tried a 41 magnum, and I am afraid to do so. I know I'd just love it. And then I'd have to acquire a blackhawk and a S&W 57. And then a Marlin 1894. It might even ruin me for my beloved 44 special....