Hi! I have a player I’m working with who created a warlock whose pact is with one of the archfey. I was trying to learn more about them and can’t find any references about personalities, desires, alignment, etc. Where is a good place to look? Any suggestions?
There hasn't been much written for 5e that details the Archfey in really in depth ways. It's pretty much open to interpretation. That being said, there are notable Archfey that were detailed in various Dragon magazine articles during the 4e years. The two that come to mind are the Winter Witch and the Briar Witch. Both are powerful archfey that I have used for Fey-pact warlocks in 5e. If you google their names with D&D there's a good chance you'll find them and a whole host of other fey as well that would make for good patrons. I'd link you to the articles, but I'm posting from mobile right now and that would be a pain in the ass with these forums.
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"The mongoose blew out its candle and was asleep in bed before the room went dark." —Llanowar fable
The Sword Coast Adventurer's guide has some information on specific archfey. It lists five specific archfey, and has a paragraph describing each. It doesn't cover all that you list, but it's a great starting point for a 5e specific take on archfey if you have it.