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coin and currency collecting could be fun... however, if I wanted to get rid of any, where would I go to do so?
Everyone here would say yes collecting is great fun and this might be a great start to a collection

If you want to sell them though, you could either bring them down to your trusted local coin shop, or if you don't have one of those then I would just put them on
ebay. Many many eyeballs on
ebay and everything seems to get bid right up to its real value. They take something like 13% plus there's shipping so there's always costs involved selling. In your case I would bundle all the silver dollars into a lot, all the newer half dollars and quarters into another lot, and list the 1877 and 1800 individually. Take the best pictures you can and make sure to put them in the right category.