try (one's) hand (at something)
To attempt to do something new; to try something for the first time. I need a new hobby. Maybe I'll try my hand at painting! Thanks for letting Janet come to rugby practice with you. I know she's eager to try her hand.
try your hand
see how skilful you are, especially at the first attempt. 1994 John Barth Once Upon a Time Since such dreaminess appeared to be my nature…why didn't I try my hand at writing fiction?
try your ˈhand (at something/doing something)
try something for the first time, for example a skill or a sport: I’ve always wanted to try my hand at golf.