What is the issue that you want to replace the radiators?
I agree with the others that the right thing to do is to replace the entire system. However, this is the most costly and disruptive which needs to be factored in.
I was in a similar situation and couldn't afford to replumb, so I did a system flush and replaced one or two radiators. The system greatly improved after the flush. However, I don't believe my system was as old as 50 years, and I didn't have gun barrel pipes but did have a few micro pipes in the system.