give it your 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.
give it (one's) best shot
To put forth one's best effort in an attempt to do or accomplish something. Henry gave it his best shot, but the board still denied his proposal.