Do you have a friend or relative that works for a company that ships and receives things?
If you can find a company with a commercial shipping account, you can likely ship using their discount.
You do ALL the packaging, address verification, figuring out insurance and everything else...make it so they literally place the items on the scale, enter the address, done.
If you are shipping to a residential address, you will pay more than shipping to a commercial/business address.
If you have the shipping hub of the carrier you use local to you, you can ship from and receive at the shipping hub to save money.
If you can make three less heavy boxes instead of shipping one large, "overweight" box you might be able to save money...do the math on this to figure out exactly what the rates will be.
Very often you can save money when shipping boxes that are below their "overweight" limits because the rates increase a lot when shipping overweight.
If the boxes are smaller and can be handled easily, and you are shipping from and to high traffic areas, you can often find an independent carrier/trucker who will take the deliver the items as an added cartage to the trip they are already taking.
All the work for this is on you though, so be ready to answer questions and assist them in the process.