Get more boxes than you think you will need. Most people tend to underestimate the amount of boxes needed for their move.
It may be necessary to purchase from your mover some of the specialized cartons that will be impossible for you to find elsewhere. This would include such cartons as mattress cartons, wardrobe cartons, containers for large pictures and mirrors (telescoping boxes), and possibly some large size cartons for tall table lamps (lamp boxes). More information on moving container here.
Use towels and blankets to protect fragile items. Instead of just packing your towels, blankets, comforters, etc., use them to cushion delicate items like china and glassware.
Start the packing process early. It always makes good sense to begin packing well ahead of the move. Most people have no idea how much energy and time packing requires. If you start too late and can’t get the job done before moving day, you may either have to pay the movers to finish or change your moving date.