Recommended · for some experience
Kicad Interactive Router (release version)
Why people recommend it
A demonstration of the KiCad interactive push and shove router from the CERN developers, linked to show how tracks can be dragged and rerouted in OpenGL mode.
Watch for: The push and shove section starts around six and a half minutes in
In their words
It is explained in this video on Youtube.
user59864 on electronics.stackexchange.com, Feb 2017. CC BY-SA.