What You have is a Peugeot UO9, circa mid to late seventies (I think, I recently dis-assembled a nearly identical bike with the same cranks). Basically a UO8 with a cotterless crank. If you look on the bottom of the bottom bracket shell, there should be a serial number complete with model number, though if memory serves, they're on a taped on piece of paper which may have fallen off. The bottom bracket will be French threaded; if the cups on the one you have are intact, just keep them, but regrease and re-bearing the BB.
The Stronglight cranks on this model take the old style 23.35mm stronglight crank remover, I believe (check). You might look for the "peugeot" badged stronglight cranks used on models like the UO10 and PFN10E (these take a standard 23mm crank remover); they will fit your BB spindle perfectly and can sometimes be found cheaply (WARNING: Some late Peugeot badged cranks are in fact Japanese made and require a JIS spindle. If in doubt, ask-- the Japanese ones say "Japan" on the inside of the crankarm). You can switch over to Japanese cranks but should change out the BB spindle in this event; this can be problematic as the french cups are sometimes thinner walled than Japanese ones,so the distance between the bearing surfaces on the French spindles are further. If a standard JIS spindle does not work, get an Italian JIS spindle.
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