on the hunt
(typically with for) In aggressive pursuit; searching relentlessly.
Police are on the hunt for the suspect.
I love working with big flavors like chiles and smoke. Honey is perfect for softening the edges, mellowing them out a bit. I put it in everything - vinaigrettes, soups, stocks, salsas, so I'm always on the hunt for great honey. Bobby Flay
I think most of the work of songwriting is thinking of great phrases - I'm addicted, always on the hunt for a really great phrase. Ezra Furman
I'm constantly on the hunt for insights about happiness or ideas about how to be happier - which probably makes me a somewhat tiresome companion at times. Gretchen Rubin