give best shot
give (something) (one's) best shot
To put one's utmost energy, effort, or determination into doing something. I gave writing my best shot, but I just don't think I can make a career out of it. Don't worry about being new, just give it your best shot.
Farlex Dictionary of Idioms. © 2015 Farlex, Inc, all rights reserved.
give something one's best shotand give one's best
Fig. to give a task one's best effort. I gave the project my best shot. Sure, try it. Give it your best!
McGraw-Hill Dictionary of American Idioms and Phrasal Verbs. © 2002 by The McGraw-Hill Companies, Inc.