You can buy a high chair with an adjustable feeding tray and a nice cushion seat made of polyester materials. (shrewdmommy.com)
A front image of the chairs above wasn't available but they appear to be wood with maybe a cane back and a loose cushion seat. (gardenhomeandparty.com)
Buy «Walnut Storage Bench» products like Annette Storage Bench, Winsome Trading Verona Bench in Walnut, Winsome Trading Monza Storage Bench with Cushion Seat in Walnut, Winsome Trading Verona Bench with Rattan Baskets in Walnut, Winsome Trading Adriana Storage Bench with 3 Baskets in Antique Walnut, Hall Tree with Storage Bench (bedbathandbeyond.com)