Our Home On The Run

Izuku Midorya was sick of the bullies and the discrimination, Bakugo always trying to help but then getting beat along with him in the process.

One day they were minding their own business, wandering the street after running away, when a classmate decided to pick a fight. A stranger shows up and sends the kid away. Izuku and Katsuki have a choice between semi-safety with the league of villains, or live as homeless kids. The answer was clear.

Himiko trains them in the art of combat as well as magne. Dabi hangs around once in a while, nobody else cared enough to pay them any mind.
After Magne's death, Himiko, Deku, and Katsuki get sent to help overhaul. They decide to deflect from the league and raise a young girl on their own, with the help of a fed up Dabi, or Touya Todoroki, also taking the quirk erasing bullets just in case.

They live life on the run as the league chases them as well as the Yakuza. Never staying in one place more than a few weeks. Deku, the Vigilante with hacking and analysis skills, Himiko, the villain turned Vigilante who's skilled with a knife, Katsuki, an aspiring hero turned villain who refuses to use his explosions after his parents abuse, and Dabi, a villain turned Vigilante who wants nothing more than to use one of the bullets on Endeavor, as well as protect the kids, not that he'd ever admit the of course.

they are becoming rather well known as the heros try to capture them as well, not for any terrible reasons tho, just to understand why kids are running around as Vigilante's. Follow along as these five misfits try and find home, their small family growing in size as other troubled kids get tossed to the side. As well as hero's?