Best, or ideal record clamp

Record clamps seem to be an obvious benefit in the process of playing records. Do record clamps work with every turntable? Are there certain clamps specific to brand A or B turntable because they work better with these brands? What is considered to be an excellent after market record clamp? I was recently told the HR record clamp is a good one to purchase. If so, what are the differences? Any advice is welcome. I own 2 turntables. One is a Brinkman, the other a Thorens TD124.