Separate unbroken concrete blocks and stack them to the side. Place the broken blocks in a wheelbarrow and haul them to a site where they can be easily picked up and hauled away. Check with your city or county solid waste office to see if there are concrete recycling companies operating in the area. If so, either haul the broken pieces to the recycling facility or ask if the companies can pick up your refuse.
Offer the unbroken blocks for sale or trade. If this fails, haul them to the curb and place a "free" sign on the stack.
Contact your local garbage hauler to see how much weight and volume they will accept on their weekly garbage run. If your pile exceeds the weekly limit, separate it into smaller piles and dispose of it over a span of time.