Polite, non-profane equivalent to ‘kick a**’

To "kick butt" is to "Dominate" or to "Rule!"

Dominate verb: have a commanding influence on; exercise control over. "the company dominates the market for operating system software"

synonyms: control, influence, exercise control over, command, be in command of, be in charge of, rule, govern, direct, have ascendancy over, have mastery over.

(Google)

Rule verb: to control or direct; exercise dominating power, authority, or influence over; govern: "to rule the empire with severity"

(Dictionary.com)

Rule verb: to dominate; to be the best. (Slang only in certain contexts. Typical in graffiti.) "Pizza rules around here"

Rule the Roost informal To be in charge; dominate: "In this house my parents rule the roost"

(The Free Dictionary)

I suggest Trounce as meaning the same thing

verb

defeat heavily in a contest.
"Essex trounced Cambridgeshire 5–1 in the final"
synonyms: defeat utterly, beat hollow, win a resounding victory over, annihilate, drub, rout, give someone a drubbing, crush, overwhelm, bring someone to their knees;

rebuke or punish severely.
"insider dealing has been roundly trounced"
synonyms: thrash, beat, whip, flog, lash, birch, cane, leather, spank, chastise, lambaste;

(Google)

If it's addressed to an audience which can understand baseball metaphors, you can use "hit it out of the park".

To cream:

"... defeat (a person or team) easily and completely"

(Merriam-webster)