Reinstein rhymes with:
rheinstein, feinstein, rheinstein, weinstein, borenstein, brandenstein, brownstein, burnstein, feinstein, fleckenstein, frankenstein, goldenstein, grabenstein, greenstein, hartenstein, hornstein, liechtenstein, lowenstein, rheinstein, rosenstein, wallenstein, weinstein
Reinstein sounds like:
ramsden, ramstein, remington, remmington, renegotiation, renunciation, rheinstein, rhinestone