The way of the broom is a secret way. Those who are not familiar with the way scoff and call it a silly myth. Those who know the names of great monks that have made a lasting impression on history may know which of them were of the broom, but probably not. In the great halls the dwarves built, a sweeper is needed. In the great castles that kings rule, a sweeper is needed. In the ancient halls of arcane education, a sweeper is needed. Wherever there is dust a sweeper is welcome. 

He may have been an acolyte in a temple of great monks or an acolyte in a temple of mediocre monks. He may have been curious about who does the sweeping or he may have been sent to them as a punishment. He may have been an apprentice to a great sorcerer hoping to learn fantastic spells, but that sort of magic is not taught so he just did the sweeping up. He may be the son of a sweeper and followed in the family tradition. 

However the training starts there is always a point where the flow of cleaning becomes cleaning of the soul. When the act of cleaning becomes so precise that no energy is required one may unlock the path and the way of the broom.

The Secret Weapon

Starting when you choose this tradition at 3rd level your quarterstaff magically becomes a broom or mop every morning through a ritual prayer to the mighty bald god Master Clean. When fighting with a ritual broom or mop it deals 1d8 damage. This damage goes up as you level, 1d10 at 11th, 1d12 at 17th.

While wielding a quarterstaff as an attack action you can use acrobatics instead of athletics to shove or sweep your enemies off their feet.

I Clean, It’s What I Do

At 3rd level as an action you can instantaneously clean an object no larger than 5 cubic feet.

When you make a skill check, to impersonate or act as cleaning staff you can treat a d20 roll of 9 or lower as a 10.

Tools of the Trade

As a bonus action you can ritualy produce a bucket of soapy water or a dust pan, if you use this feature again the original disappears. You may use this feature a number of times equal to your proficiency modifier per day.

That’s The Smell Of Clean

Starting at 6th level when attacking with a ritual broom or mop your attacks count as magical for the purposes of overcoming resistances. 

When you hit a target with a ritual broom or mop, you can spend 1 ki point to cause the weapon to deal extra damage to the target equil to your martial arts die. This damage can be ether acid or fire, you can use this feature only once on each of your turns. 

The Sorcerers Apprentice

At 6th level once a day you can cast Tiny Servant as a ritual, when you do, the object you cast this on first becomes a broom before becoming the servant. You may spend 4 ki to cast it again. 

Missed a Spot

Starting at 11th level after you move and use an action you may spend 3 ki and use a bonus action to return to the space you occupied at the beginning of your turn without provoking attacks of opportunity. This feature uses up all of your remaining movement. 

I Do Not Fear The Dirt The Dirt Fears Me

At 11th level you have resistance to acid and fire damage. 

The Mighty Force Of The Cleaning Sweep

Starting at 17th level you may spend 4 ki to produce a huge concussive force that is 30 foot wide, 15 feet on either side, moving forward from you for 30 feet. All creatures must make a [save]strength[/save] saving throw or be moved back 10 feet. If the creature hits a surface in that ten feet it takes 1d6 bludgeoning damage. Any creature that was hit by the blast must also make a constitution save or take 2d8 fire 2d8 acid and 2d8 force damage. On a successful save take half damage. 

Every room you enter becomes slightly cleaner.