There are varieties that you can look for,1960 large over small date, the 1959 wheat back mule, and 1958 DDO comes to mind almost immediately finding just 1 of those could be a nice score. There are others too, try google for references and images
while some of those coins may grade in MS condition, they will likely not grade above MS-63, especially after life in an album. My suggestion is to go on eBay and look up some auctions of 1950s and 1960s Lincoln cents that are already graded at MS-66 and above. you may be able to see the difference between those and your coins, as well as find out how few of these coins (overall) actually grade at that level
I think it's also important to note that sending coins in for grading should only happen when the difference between the coin selling raw and the same coin selling graded are large enough to cover the expenses of grading, postage and insurance to have it done (and those costs are significant).
1958 Lincoln's in MS66 RD are going for well under $80. MS67 RD are closer to $1800. PCGS has only graded 43 out of over 3200 in that grade. Yours would have to be exceptional in order the reach that grade. Compare that with almost 1300 graded MS66. It would cost around $20 per coin to have graded.