Use damp cloth to wipe off the dirt on leather boots. And also use a shoe dryer just after washing (use the setting for leather shoes, which is typically 20mins). Don't use the shoe dryer for too long as extensive heating may cause damage to the boots!
Hmmm, I actually find the opposite happens. The shoes cut up the magic eraser 😂 Brushes can definitely be really abrasive though. You have to be gentle when cleaning with a brush.