What is the ball park cost to be moved from chicago area to albuquerque area 3 br small apt. in the fall?

we are planning to move any time now from the chicago suburbs to albuquerque,nm area suburbs and don't want to be hassled with giving out the particulars in form data because all is'nt clear yet we would like a ball park estimate please.It is actually a large 2 br apt. we chose a small 3 br for size just to be sure it was enough room, weight, ect.