The answer is "maybe". Do you really know the value of your coins, as in, do you know where the Mint Marks (small initials on the coin that indicate where the coin was made) are located? If your answer was, "What's a Mint Mark?", then yes, send them to a reputable auction house!
As it is very small differences, even among similar coins, that make all the difference in value. A coin that is in just slightly better condition may have significantly higher value over one that has just a little more wear. Collectors want rare coins (ones made in low numbers) that are in the best relative condition.
Many collectors value coins made in Carson City, Nevada, highly. So, a coin that is in poor condition but was made in Carson City, may have 10x the value of a really nice coin from the exact same year, but was made in Philadelphia.
General rules of thumb:
Gold and Silver coins have their value loosely tied to their "intrinsic value", when gold and silver bullion prices are up, coins may be worth more then when the market is down. Similar to how the price of Stocks fluctuate a little from day to day, Gold and Silver does to, the value on any given day is it's "Spot Price".
The value is generally tied to their denomination, Silver Dollars are usually worth more than Silver Dimes, of course, there are exceptions.
The value is generally tied to how many of particular coin were made in a given year. Some years had higher productions, some years had less.
The value is generally tied to condition, people like pretty things. Coins are no different.
For US Coins: Dimes, Quarters, and Half Dollars made before 1964 are 90% silver and have more value than later coins. Half Dollars made between 1965 and 1970 are 40% silver.
It can be very confusing and time consuming to attempt to value a collection of coins if you are not fully invested into that community.
Also, do not ever clean your coins! It can devastate a coin's value....
Do get them in front of a wide audience that knows their stuff, they'll bring their value.