Since traceroute displays routers that the packet passes through to visit the google.com servers, why is my first router not the home router( 192.168.0.1 ) ...
The standard traceroute command seems to be able to do it (allow selection of outgoing interface, source IP), but it does not allow selection of the gateway.
Traceroute is a tool to trace the path of an IP packet as it traverses routers locally or globally. It is primarily used for diagnostic and troubleshooting ... What is traceroute? · How to run a traceroute · How to read traceroute results