Hi. Im looking at a tripp trapp to buy online, as I live nowhere near a shop that stocks it (45 miles away!). My table is a chunky style one with height of 76cms, but the table top is 12 cms thick, so the distance form the floor to the underneath of the table top is 64cms. Would a tripp trapp work (with the baby set and cushion), as I want a highchair that you can pull up to the table, so the little one can join in with family meals, when we start weaning in 5 weeks!!!! Im excited to wean, but dare not order a tripp trapp until I know it will fit! Thanks to any tripp trapp owners who can help!