Newbie Needs Advice On Appraisals

What type of coins are you talking about? What year can you see? Pictures? How do you know they are worth a lot? Why not just go to a coin shop and ask them? You gave a great deal of info but nothing about the coins which are the really important part of this story. Please describe what you got. I'm always excited to hear that a new collector is interested in the hobby!

Removing the coins from the rolls wont hurt the values at all. It will actually help since you'll know what you have. Get yourself some cloth gloves and a towel. Open the wrappers on top of the towel (so you don't ding or scratch them on the table). Make sure you've got your gloves on them so no finger oils get onto the coins also.

I would also tell you to post pictures. I've seen too many times on here people thinking that there parents/grandparents have given them valueable coins and that's not always the case. Hopefully for you it is. If you'd like, you can also go to a local coin store and pick up 2x2 coin holders to put the coins in individually for long term storage. Hopefully you haven't stored the coins in a humid place over the last however many years... bad things can come from coins being put in rolls when stored improperly.

It is extremely relevant, coins can have a tremendous range in rarity and value depending on the denomination, date, and mintmark. Being vague is not a good way to get helpful advice You could have a roll of common date wheat cents worth about $2 or you could have a roll of 1916 Standing Liberty quarters worth in excess of $100,000. The advice will definitely not be the same in all cases.

The above is really something to think about. You could have nothing or something that an appraiser would snuff at and you loose.
You should really sit down and try yourself to see what you have. There are a ton of web sites you could use for such info including this one of course.

It is a physical impossibility for you to maximize your return without removing them from the rolls. If they are worth selling, they are far more valuable individually than in a group.

With that said, I can have no further advice for you because you don't seem willing to tell us what they are. That, I admit, is a first in my experience. You're asking us about value without telling us what we're evaluating.

From your initial post, it does sound like you are going about this in a completely wrong way. What I would do is open the rolls to see what you have. Make a list of all the coins, dates and mint marks if applicable. This way you will have an inventory and know exactly what you have. I would then post pictures here of at least a sampling of what you have so that we can give you free advice and possible value. The end coins mean nothing and no offense to you, but your posting indicate that you are far from the ideal person to determine the value of what you have. If you can post some pics of what you have, we will be able to clear up this mystery very quickly and give advice as to the best way to store, maintain or sell these coins if they are valuable. It would be a great story to hear you did hit the jackpot, but keep in mind that there are many fakes out there, especially with key date coins so an expert's opinion is a must. But as the others have said, I would not sell the coins to any dealer or appraiser who gives you a number. You want independent and non-interested people. Good luck.

A friend of mine just had a similar circumstance. His F-I-L passed away leaving a small collection. No one knew what was in the collection (tubes of Mercs, rolls of Lincolns, etc.). He and his daughter found a web site with prices, wrote down all the key dates and looked through the coins to see what was there. They got a general idea of value and are liquidating the collection. So now they are able to talk to dealers with knowledge.

In other words, it would benefit you to do some research prior to taking them in, to catalog them and know what you have.