I have a s&w 1076 and have reloaded the brass many many times with no bulge but I keep the loads light with lead bullets and unique powder. If you do have issues with bulges lee makes a die you can smash the brass through to remove the bulge. I'm sure its not real good for case life but it should work. I cast my own bullets so the 10 costs me about 4 cents per shot, if I use tula primers, that's about as cheap as I could get 22lr before the recent shortage. Aside from the price of the brass, the reloading cost will be close to 357 and cheaper than the 44 which uses more lead and powder. I have run both Lyman and Lee carbide dies and there isn't a dimes worth of difference unless you use the auto measure, then the powder through expanding die is awesome. I batch loaded many 1000's of rounds on a lyman turret before I found a lee pro 1000 in a yard sale for $20. The Lee progressive are finicky and not for a beginner but once it is set up I can reload every piece of brass I have in very short order . I am fan of turrets for the beginner because you can set and forget your dies and not have to change them out. Lee Classic cast turret is the absolute best you can get for the money plus replacement turrets are so cheap you can easily afford one for each set of dies.
Just like Ford, Chevy and Dodge, most everyone has their favorite products. In the end it boils down to budget they will all work and some require more tweaking and fussing than others (not always in direct correlation to price).
Reloading Equipment comes in three forms-- cheap, fast and easy--pick any two.
Most likely you will not spend less money because you reload, but you will be able to afford to shoot a whole lot more.