“go around trying to find the most meikel shitah in everything”
Many of R’ Moshes psakim were the more lenient shitta. There is a story recorded in the Artscroll Biography of R’ moshe how a certain person when told to consult R’ Moshe was told that he didnt want a kula. He was told that R’ Moshe doesnt look for Kulos he looks for the halacha the way he sees it. What you feel is a kula is how he determines the halacha. With that said, it is important for those who are “machmir” or “maikel” in any situation to understand that people have Rabbonim who issue a psokim. It is one thing to pick and choose kulos everytime, it is quite another to follow the psak of your Rav, whatever side of the kula/chumra fence it comes down on.
Personally, I have no problems with “chumros”. the problem i have is with the people who have decided thattheir chumra is binding on all klal yisroel and those who do not abide by the chumra are going against the halacha. Be machmir all you want, just dont impose your chumra on me. Thats the job of my Rav.