Reading Council and Reading Buses urged people to use the route, which has been less used since the pandemic.
The changes mean those vehicles older than 10 years in February 2028 must be retired.
Reading firm Classic Quartz Stone Ltd fined £300k as at least 175 safety breaches identified.
Reading councillors have approved another plan for the town centre office building.
The changes will be implemented at 12 car parks across Reading in August, the council says.
Reading Borough Council officers gave the conversion plan approved last week.
The venue is vital to many community groups despite previous concerns, the council says.
Reading's new Central Library will reopen it's doors in the town's Civic Centre.