My 2 cents as a piano hobbyist: rent a piano for the first year! Later, if your child is progressing and wants to continue, shop for a used piano. Be sure to pay a piano tuner to assess any used piano you are considering so you know the extent of the work required to bring it to good condition. Pianos are complicated instruments and although you the parent may think one sounds “fine”, there may be annoying mechanical issues that I, the pianist, can feel and that detract from the overall nuance of the performance.
…loving my Yamaha C2 Grand but lusting after a Bechstein…