Bruce has had varying levels of wealth and we've had various backstories for his family (especially the Wayne side).
But what do you prefer the Wayne/Kane wealth and importance to be and what backstory to accomplish that?
Do you like one of the families important since the colonials days? Or making their money and gaining their influence from railroads in the 1850s? New money in the Gilded Age? Timeslide being what it is, they could even have made their money in the 1920s or later and still be several generations deep in wealth. Or are they rich, but not that rich? Gotham royalty or mostly unknown rich people?