Requesting Help To Appraise And Sell Older Coin Collection.

Not much help so far as to how to sell off those coins.
I do see a sort of problem. Since your in Denmark, postage, handling, insurances, etc. may not be something you will not like. I don't know what the rules are there for shipping or mailing coins to other countries. May not even be possible. May cost a lot of money and more than the coins are worth.
For example if someone in the USA wanted to buy a few of your Silver Dollars, how much would it cost for postage, insurances, etc. Would a buyer be willing to pay for that? And too there are charges for ebay and paypal if you use them so you would have to look into that.
More bad news is the cost of shipping materials. Padded Envelopes, something to hold the coins in place, etc.
I really don't know what the laws are there about shipping coins or currency out of the country but I've heard some countries will not allow that. And too, what about the laws in a country your sending to?
And as to prices. If you look up places on line such as Numismedia, the PCGS web site, etc. you'll find a all sorts of differences in prices. You have to realize that those are all GUIDES. Not real values, just GUIDES. There is no real price on a coin except what it is in face value. Anything over that is just a sort of guess. There are books, magazines, etc. with coin values and prices but those too are just GUIDES.
The best thing to do is spend a real lot of time on ebay looking up what they say is a grade and a price. Not necessarily realistic, but better than others. Once you get an idea of what you have and want, about the only place to get started selling.