I "ripped" my entire vinyl collection to MP3 about 10 years ago, using an "Artcessories USB PhonoPlus" gadget I bought on Amazon, plus "Spin it Again" freeware I downloaded from Cnet. There are similar gadgets still available that convert phono output to digital USB that your computer understands, but it looks like they're more pricey these days -- about $100.
The trick is getting the sound level high enough to pick up the full range of frequency response without introducing distortion. It was a mystery to me at the time why they didn't give you an option to automatically detect the levels and set them correctly. Maybe that's been fixed by now. It wouldn't be as critical with mostly speaking content like a wedding.
But it's probably not worth the trouble it for two albums. Maybe there is a service, but I just checked Legacy Box and they only do cassette tape.
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