meet up with the debris, reorient yourself and the debris such that the debris is closer to the earth (reaction wheels, magnetic torquer bar and patience is all that's required), and then just mechanically kick it down (store up energy from the sun and then trigger a solenoid). the debris itself becomes your propulsion. you get a tiny boost up, perhaps towards your next target, and it gets a (admittedly!) tiny boost down.
obviously it doesn't instantly dispose of everything, but progressively pushing material further down the gravity well is the next best thing.
not claiming this would be cost effective.