Correct inflation pressure for old road bike I have an old Fuji road bike that I got a garage sale a while back. It's probably from the 70s or 80s. This summer, I've been trying to fix it up into good condition for some longer-than-usual rides (maybe 10+ miles, as opposed to just 4 or so). The old tires (27 x 1/8, hooked rim) were very worn, so I took the bike to a shop where they replaced them with new ones (32-630, 27 x 11/4 to fit schwinn s-6 or k-2 tubular rim).

The new tires say "inflate to 90 psi", which is what I was planning on doing until one of the bike mechanics told me that I was running them way too high. He said the tires and tubes could handle that 90 psi pressure, but that my rims (which are the original aluminum ones I think) couldn't take 90 psi. Instead, he advised that I keep the tires at 60-65 psi. I tried his recommendation, but the tires definitely seemed to bulging out a lot where they contacted the road as I rode it around. I feel like the tires should be more inflated, but I don't want to damage the wheels.

So, I thought I'd get some advice about the matter. I'm 165 lbs, and my rides won't be too serious for now at least. Just riding around mainly on some wide walking/bike paths we have in the city. There may be a few mile-long stretches of sidewalk, however. Any advice is very much appreciated!
I can't see your specific rims from here, but plenty of bikes back in the 70s and 80s had rims that width capable of handling 90-110 PSI.  

And I definitely wouldn't run a 1-1/8" tire at 65 PSI.  I'd imagine that the rims, if designed for tires that narrow, should be able to handle 80 PSI or so.