How to compare PSD methods?
How to compare PSD methods?

Same way you deal with any type of engineering problem of this sort:

Write down requirements of your application. What are the priorities, sensitivities and minimum quantitative requirements/thresholds.?
Write down the properties, features and parameter space of the different PSD approaches that you have found.
Compare #1 and #2, find the PSD method and parameters that meets your requirements the best and/or has the best set of tradeoffs.