If you search
ebay for Stamp Album and sort by price lowest to highest, there are a lot of suitable options to rescue the stamps from this old album and give them a new home. A brand new album may cost you $25 or up, but a clean vintage album will do just as well for these vintage stamps. Here are a few examples of albums made from the 1940s to 1980s currently selling for about $6 each plus about $6 postage.
https://www.ebay.com/itm/226153233769https://www.ebay.com/itm/204796013073https://www.ebay.com/itm/235564330985You will also want some stamp hinges to safely mount the stamps into the albums. They typically cost from $5-$10 for a package of 1000.
Alternatively a stock book or stock pages (search for Hagner or Vario brands) will let you display the stamps in a convenient 3-ring binder.



If there is a local stamp club, stamp show, or stamp dealer in your area they sometimes have gently used albums and supplies they are happy to give away to new collectors.
The local public library may have copies of the Scott's Postage Stamp Catalog if you want to find out more information about the stamps you have like what year they were printed.
Have fun, and welcome.