An interesting detailed map in Hungarian, of the Avar kingdom in Europe. It shows the movements of the Avar people, the expansions of its realm (shades of green) and other features, easily understood.

Transl: Avar Birodalom: Avar kingdom,  Keletromai Birodalom: East Roman empire

For the identity of the Avars, please  read my earlier article: https://periklisdeligiannis.wordpress.com/2017/11/03/the-hephthalites-white-huns-and-the-genesis-of-the-avars-nomad-peoples-of-eurasia/