Can moving expenses,rent, utilities be taken into account for the moving party when alimony is being calculated? Or would the part leaving need to move before entering into an alimony agreement so that it could be calculated in?

An alimony order or agreement usually is based on the dependent spouse’s monthly need, and moving expenses aren’t a recurring expense. You could negotiate for reimbursement of these expenses on a one time basis as an alimony payment or you could negotiate equitable distribution with this expense included.