1 Moving a piano locally can cost between $125 and $700, depending on piano type and accessibility. 2  Long distance moving can average $700 to $2,500, depending on distance traveled and ease of loading and unloading. Piano moving involving stairs can cost an additional $2 to $12 per step. 2  Some companies charge $50 to $60 per month for pianos kept in a climate-controlled storage. 3  Placing time restraints on movers usually necessitates added costs.