Back in the 60's when I was a teenager, I had a 700 in 22-250. Had some super cheapie fixed 10x scope. Got one if them little Whack-A-Mole reloaders from Lee.
I was terror on groundhogs. Anything under 300 was a gimme. Got some at 400+. The guns and ammo today are way better than they were then.
I know you're set with the 25-06 right now, but if you do get a different barrel you might consider other calibers if you'd like. Just need the same bolt face. But, the one you have should do just fine.
Success/failure is more operator error than anything else.
For bullets, I personally prefer Nosler Ballistic Tips. One of my friends has a 22-250 that was a 1 1/2 to 2" gun with factory ammo. Just thought that was the best he could do. First time with my hand loads with H-380 and 50 grain BT's, he shot sub 3/4".
Sounds exactly like my situation. I'm a 21 year old trying to survive on a paramedics salary in ohio (about the same salary as a fast food worker). So everything is on a budget. I've recently started reloading for my 44 mag handi with a lee loader and have been able to cater a 180gr low recoil round to minute of bowling pin for the girlfriend to deer hunt with. I've now acquired a lee loader in 25-06 to start loading for my savage. I have about 80 once fired in my rifle hornady brass sized, trimmed, deprimed and cleaned ready to go.