CAIA/FRM/CFA for career in PE/HF world?

My first job, I work as a junior portfolio manager/Middle office analyst. I moved on to a consulting firm doing strictly middle office operations for boutique hedge funds. I like my work but I've come to realise I really like being a part of the investment analysis/trading aspect of finance. I plan on taking one of the designations above but Im just not sure which one would be best. My goal is to get to a pe firm or hedge fund so this is what is causing my selection issue since CFA's are generally more in the institutional asset manager space. Thanks in advance