Linden v Cressey v Waud v Roundtable

I'd look at the portfolios and get a sense for differences in subsectors. In this game you aren't a "healthcare investor" you have specific subverticals that you focus on. As an example, Waud is good at what they do but what they do is (not exclusively) retail oriented healthcare roll-ups. Maybe that is a pro or maybe a con to you. You may get to work on a bigger spectrum of healthcare stuff at the other 3. 

Then I would get a sense for returns and you can find that by asking them in later stages of interviews as you feel appropriate or doing some desktop research (see calpers, oregon, etc.). sometimes you can even find fundraising materials posted on LPs websites if you look hard enough.

Then I would get a sense for culture, some of this will come out of the interviews and you can also reach out to former employees. I recommend pausing after you get an offer to really do your homework here and not give in to strong desire to sign right away and move on after all of the interview stress.

Of course comp also matters but not necessarily the most.

How you weight all of the above should vary if coming in at associate vs. coming in at VP+. Should do your best to think about what you want next (do you want to maximize for brand name vs. lifestyle, do you care about b school, do you want a direct promote, do you want to work at a company in a specific subvertical one day, do you want to retire early and max comp, etc.) and factor that in your decision making.