What is the typical profit margin in the Moving Business and what are
the major variables that can increase or decrease profits?

Kevinl --

I hesitate to publish this as an Answer because it's not precisely
targeted at the services that you're seeking.  However, Bizstats has a
summary of a large number of small business categories and has good
cost breakdowns.  These "Trucking & Courier Services" models may be
helpful:
http://www.bizstats.com/trucking.htm

Best regards,

Omnivorous-GA