Usage patterns
〈人〉の腕前を見せるto show off one's skill
He showed off his cooking skills to us.
腕前を披露するto display one's skill (often publicly)
She displayed impressive skill at the contest.
腕前を磨くto polish/hone one's skill
He practices every day to hone his skill.
腕前が上がるone's skill improves
Her piano skill has really improved over the past year.
〈人〉の腕前を試すto test someone's skill
Let's test his skill with a new dish.
プロ並みの腕前professional-level skill
His guitar playing is at a professional level.