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...if you really want to experience what your Legnano is capable of in terms of speed and handling, it behooves you to rebuild those wheels with a more modern, hook bead rim. The rims will be lighter, so less rotating weight. You can switch to 700c so you can access better tyres. And you can inflate them to pressures that will allow faster riding, if you weigh more than 120 pounds soaking wet.
Even paying someone to do it is well worth the investment. There are a number of candidate rims, with the Sun M 13ii one of the more economical choices, that still look reasonable on an older bike.