I handload for all my mil-surp rifles. 7.5 Swiss, 7.62x54R, 8mm Mauser, 6.5 Sweede, and .303 Brit.
I also buy cases of surplus ammo. It is too cheap to pass up, but good cheap ammo is not available for all these calibers. 7.5 Swiss is a good example. Surplus ammo is very expensive although it is really premium stuff. Very nice, super quality. I have never run across any great deals on surplus .303 either. It might be out there, but it has never fallen in my lap the way the 7.62x54R and 8mm Mauser do - it is everywhere.
Handloading to me is a hobby in and of itself. I enjoy playing with the loads, seeing if I can improve upon accuracy and performance, try different bullet weights, try cast bullets, try reduced loads for very quiet shooting......................
On some of these old rifles, quality control wasn't there. You might find that the bore size is not what you think it should be. This is where handloading comes into it's own. You can load a bullet that is the correct diameter for the bore. One example would be my first MN 91/30. I paid I think $39 for it. It was really grungy. I cleaned it all up and put a few coats of BLO on the stock. It looked really good but would not shoot for crap. I tried surplus and handloads with no luck. I had it out one day shooting at distant rocks at an estimated 500 yards. One shot might strike 10 FEET to the left, the next three FEET to the right................. I slugged the bore and found that it was grossly oversized. I handloaded for it with bullets closer to the actual bore size and it now shoots pretty good.
One note on corrosive ammo. I think we often make way too big of a deal out of shooting corrosive ammo. Keep in mind that before you got the rifle, it probably only fired corrosive ammo. This was the ammo in use when these rifles were issued by the military. They spent their whole military career firing corrosive ammo. Now we shoot it and handle it almost like some kind of haz-mat incident.
That being said, I clean the bore with Windex. This is no additional effort over using Hoppes or whatever. I just spray the patch with window cleaner and swab out the bore. Then I follow up with regular bore cleaner. I have also used boiling water just like I do for black powder just to give it a try. I boil a big pot of water and pour it into a bucket with dish soap. I put the muzzle of the rifle in the water and pump a patch up and down the bore from the breech end. The patch carries a column of boiling soapy water up the bore with it. I then finish off with boiling clear water (no soap). This is a very fast and easy way to clean but does nothing for copper jacket fouling. Using the Windex right at the range is the best way for me. I run a few patches soaked in Windex through the bore right after I am done shooting. It gets the lions share of fouling out of the bore. I run one solvent soaked patch through and leave the solvent in the bore on the way home. When I get home it is almost completely clean. It really doesn't save any time, but it seems like it because you don't have to do as much after arriving back home.