Don't bother with the 1N4001 diodes. Get 1N4007. They are 1000V and usually the same price as the 50V ones. If you ever need the higher voltage then you already have them. Get a bunch. Almost anywhere something just specifies a diode without any more information they will work.
For series diodes you will get better performance with Schottky diodes. It probably doesn't doesn't matter in this application but the lower forward voltage is useful for higher currents and applications where the voltage drop could be problematic. Don't use them for half wave rectification. The reverse leakage current is bad for polarized capacitors. And a bigger capacitor doesn't help. Or at least so I've been told

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BoB