One other option is an old-fashioned soft-start button in the primary side - a power resistor of a couple of ohms and a push button wired so that the resistor is in in circuit only when button pressed. It limits the current until the caps have charged sufficiently to stop the inrush.
You press the button, switch on, wait 1-2 seconds then release the button, this can all be automated but depends how complex you want to get, used to be used in valve amplifiers.