FedEx and UPS are expensive for LTL. Go to www.freightquote.com and you'll be able to compare about 30 different companies and choose either the lowest rate or the one you feel most comfortable with.
You could also use www.uship.com where truck drivers bid on your shipment.
I signed up a freightquote.com and a very helpful gentleman called me within a few minutes. he explained a lot to me. Their prices are significantly lower than I was finding elsewhere.