Depending on size I believe you can use flat rate shipping For like $6. All you have to do is wrap it in bubble wrap or some type of cloth (old shirts work great) and ship it that way. I've had a lot of glass items sent that way.
How would I have this shipped out? Do I bring it to the post office? I don't have a PayPal account and my credit card got shut off so it's kind of impossible to receive shipping payment unless I get a valid check or money order.
Yes you take it to the post office and pretty much just ask for the cheapest, safest way to ship it. As for payment they do money orders at most post offices or Walmart does money orders that can be cashed at Walmarts and some banks.