Well you can get many differing appraisals as coins and collectibles have several values - the value a dealer will pay, the value you can expect to pay a dealer for them. an insurance valuation which is based on catalogue value or replacement value.
when you sell them do NOT expect to get catalogue value - that is the price you would pay a dealer.
I have boxes full of coins and to be honest they are not worth more than scrap metal and your tin or box of coins may be similar BUT then again they may be worth a good deal.
Can you put up some photos and then we will know whether they are even worth taking for appraisal keeping in mind that you will pay for the service.