Newcastle to Sydney train trip, car parking near broadmeadow?

Going back to Sydney from Newcastle for 5-6 days by train so from broadmeadow station to central station. I'm live a bit further up from Newcastle and have to take the car down to the station and need a good and cheap parking place near station for 6 days, beside the station itself, if that the only option then all good.

Y'all have some recommendations from y'all experience? 😁😁