My favourite chess set
Years ago I bought a set of plastic pieces which says "Actual Tournament Size". The plastic is surprisingly thick but quite light. I bought a sheet of felt cloth and some cement. I ripped of all the paper bases, mixed up the cement with water and carefully poured it into each piece. While the cement dried, I carefully cut circles out of the felt to fit the bases. After the cement dried, I glued on the felt with PVA.
The pieces are now a nice weight and I still have the original box and the cardboard chess board.