Some information left out. Do you need the money? Do you need the money now? Are you really just tired of the excess coins or just want to gets rid of them? Is there any other members of your family that may want the excess? Have you thought about attempting to start a young member of your family with coins? Any other coin collectors in your family or friends or neighbors that may want the excess? As already noted ebay or most other on line methods could be really time consuming and you may never get rid of most or lots of them. Going to a coin store is possibly the worst method and especially if you do not know them. They would offer you a fraction of the value. This is not based on them being crooks. A store owner must work on a large margin of profit to pay for all building types of expenses, water, gas, phone, electric, rent or mortagage and then there is that thing called living expenses like food for the family. All this comes from the profit of coin sales. Asking people on this forum may help you get rid of the entire pile of coins you don't want. Some here are dealers and such a bulk quantity helps thier inventory for prospective buyers that may well want what you have. And if a dealer, usually in no hurry to get rid of each coin. My best suggestion is to find a coin show if there are any in your area. If not known, try Google and type in coin shows and your state. If you live near a border of other states, try them also. At a coin show you could walk around asking different dealers for estimates and possible sale of all coins. I see this done almost all the time at coin shows. If there are 50 to 100 dealers you have a great chance of making the most profit. And no taxes, no postage, no insurances for mailing, no nothing except a few hours of time. AND, you may well find coins you want or need youself and be able to trade. In addition to that, you should meet some really nice people, learn a lot about coins, find books and other items for coin collecting. Make contacts for future sales and/or purchases. One more suggestion is if you have sufficient inventory, you may want to become a dealer at those coin shows. Also, pending the amount of what you want to get rid of and your monitary situation, you may want to have some giveaways for YN's right here.
I know, which is why I gave you the answer I did. Now, you say the coins have a bid value - how are you determining that bid value ? What are you using as your source for that information ? If it's anything BUT the Grey Sheet, then forget about what you think the bid value is.
Sounds like you have a lot of Mercury dimes! Depending on the dates, you could sort through all of them and put together rolls of 50 with no duplicates. That should gain you a small premium right off the bat. Then go on ebay and say you have "More than 'X' # available" which is an option and sell them in rolls of 50. They're selling for $60 to $70 on ebay consistantly. That would require you to create one auction. And let it run for 30 days or until they're sold. Rolls of silver are very popular on there. Or, go to a coinshow with them in rolls of 50 and trade them in on coins you want. Most will give you spot on a trade in. That would be very easy to do. Or, try the open forum here first. That's the only 3 options I would take.