Single Push Button - "C" Circuit for Single Coil Latching Relays
Use a single coil latching relay without a separate negative rail to trigger the coil in reverse. Use reverse output from a capacitor instead.
Here, an On-On DPDT push button is used.
Debouncing might be advantageous.
Capacitor value:
L is coil inductance and R is coil resistance
C > ( 4*L ) / ( R^2 )
Relay in simulation isn't latching but the coil is bipolar.