Go standard, radial caps when you can find them. Regular radial caps have less chance of ruining the plating within the holes when changing them. Nichicon is one source for caps that will fit. UVR1E153MRD for the 15000uF, 25V caps, UVR1V103MRD for 10000uF, 35V caps.
The snap cap does not give better protection against vibration, they are used to hold the cap in place during the wave soldering process.