Thanks for the advice.
I think I'm going for the new rims. I'm sure I won't get any problems with tyres plus the original ones are ridiculously heavy so I won't miss them much either.
The tyres that were on the bike did have a seriously strong bead on it. And the tyres I tried to fit were also really flimsy folding tyres so I think you could be on to something there.
Any recommendations for a new set of tyres?
I'm a retro newbie so please be nice!
I've just bought a peugeot elite as a fun first step in to retro biking. It's a lovely bike and in great condition. I think it actually has the original tyres on it. Needless to say they aren't roadworthy so I put a set of 700 x 23 tyres that I had...