ADVICE PLEASE

I am getting ready to send in my first US coins (19th century type set) for grading.

I have many rolls of what appear to be uncirculated coins all of the same date that were my fathers. Pictured below are a few of these examples. (1956P Washington Quarter, 1956 Dimes, 1958D Dimes). Most of these rolls are from the 50s with the exception of a roll of 1964 halves.

My question is this: What would be the best way to handle these? Have the rolls certified (and what does that mean)? Have each coin certified? My dilemma is that there is such a huge difference in price between the grades. I would hate to pay $15.00 to have a $9.00 coin graded but I may be missing a higher grade worth several hundred dollars.

I believe my father each year went to the bank to buy a roll as soon as the new coins came out and then he put them away.

Thanks in advance for your suggestions.

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