The problem with space debris is that many of the pieces are in drastically different orbits - especially the debris from ASAT tests - and there's no easy way to deal with that.

It's quite expensive fuel-wise to get from one orbit to another - especially at the altitudes where debris is the biggest issue - and you will need to somehow capture debris that might be coming at your satellite at thousands of meters per second of velocity. You need to make sure it doesn't hit your satellite and create more debris.

There's team working on that! Give me a minute to fin a link.

edit:

I was thinking of the Clearspace but apparently Astroscale is doing it too.

"Europe plans space claw to capture orbiting junk | Science | AAAS" https://www.science.org/content/article/europe-plans-space-claw-capture-orbiting-junk

"Astroscale's space junk removal satellite aces 1st orbital test | Space" https://www.space.com/astroscale-first-space-junk-capture-demonstration

There a great series on the subject.... link

ESA purchases world-first debris removal mission from start-up

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Maybe a set of satellites linked together with a steel mesh "net" (kind of like how we clean up the Pacific Ocean).

Four satellites, in a diamond pattern; with a net splayed between them?