Firstly, many thanks for all of your replies. Surprised how much help I've had with this one. To clear up any confusion over user name, my now departed father was a plumber. He put this system in, in the early 80s and it still runs really well on the original Concorde WRS boiler. I'm not a plumber, but I did occasionally help him.
So, am I to understand that putting a small offset in a short length of pipe, possibly with an internal spring, would be difficult? I may be able to heat the pipe if this helps? This may be the neatest way for some rads. However, I'm not dead set on this way of piping the rads, as some others have suggested good alternatives. Will have to look at these options and see which may work for each rad to be replaced.
One thing that was mentioned was digging up some of the concrete (screed?) to change the pipes properly. I was assuming that the pipes would be difficult to get to and may be coated in whatever they are set into. But I suppose they may be covered in something for protection. What am I likely to find if I start chiselling up the floor around the pipes? Will the pipes be in a good enough condition/state to allow soldering onto them? Presumably the top layer is screed, how easy is this to excavate - easier than normal concrete?