Another outlier maybe...
Like the OP, I have rediscovered vinyl, over the last decades. I have developed a ritual when buying an LP: write in the artist, the title, year etc in a data base. It is a bit of work, but I like it. It forces me to take a closer look at the LP and think about it.
In order to do this, I designed my own database, using the program Commence, back when I had only a hundred LPs. I gradually filled in the records I bought, one by one. Today I have 1800.
Each record in the data base has a note log which I can fill in when listening to it, and fields for sound and content, so I can sort records by sound quality rating for example. I can also connect to relevant web pages like the Discogs info on my version of the LP. It is easy to find price statistics, although my base is built for non commercial purposes.
My basic physical sorting of LPs is just by alphabet, by the artist’s last name, with letter dividers, in my shelves. All records are sorted together, no subdivision into music type etc. They are sorted chronogically from first to last record of each artist. Since the physical library of 1800 LPs is registered in the data base, it is easy to search by album title and other info in the base if I forget an artist’s name or the LP placement in the shelf, and easy to update my evaluation in the base when listening.
A convenient habit, when taking out a record for playing, is to lift the next record a bit out from the others in the shelf – this makes it easier to put it back in the shelf. Generous space in the shelf, since tight-bound Lps are a hassle to deal with, is also a good idea.

