Moving is a major choice, and the cost of the relocation is a little element with a significant cost. But what do residential moving services long island charge? When calculating the cost of your relocation, a number of variables are involved. Moving expenses can range from $800 to $2,500, but on average they cost roughly $1,400. But keep in mind that this pricing range only applies to local removals made by a 2-person moving crew and covering a distance of up to 100 miles. The average moving price increases to between $2,200 to $5,700 for long-distance relocation.