The cost of cremation typically ranges from $2,000 to $4,000 if arranged through a funeral home and from $1,500 to $3,000 if arranged directly through a crematory.owever, in addition to the cost of the basic cremation service -- processing a body into the ash-and-bones mixtures called cremains -- a number of other charges may be added for related paperwork, goods, and services, including: Getting an original death certificate and copies.