Finding a reputable local coin dealer is a good first step to selling silver coins. A coin dealer can advise whether the coins have any collectible value above and beyond the weight of the silver.
Coin World is a respected publication among coin dealers and collectors that offers a searchable directory of coin dealers online. Once the value of the silver coins is verified, a coin dealer may offer to buy them for resale to customers or for the value of the melted silver. Other types of shops may buy non-collectible silver coins for their melt weight, but it is wise to seek the advice of an expert coin dealer first.