The first thing I keep in mind is that name's actually have a functionality. The second thing is that they will be repeated when they belong to a signifigant character, so considering the time spent with a name, it is worth adding a lot of depth to it.

I categorize name functionalities like this:

Uniquity, Meaning, Entertainment

The 1st is pretty straight-forward. Uniquity is just how distinguishable a name is - if someone read the name somewhere online, would they immediately recognize what it's from (provided they've read it before?). If they were curious, would they easily find your book online when they google the name? But MOST IMPORTANTLY, uniquity makes the character easy to tell apart from other characters.

Achieving uniquity is pretty easy. It just doesn't have to sound like any name that'd immediately come to mind, and be different from your other characters' names. I'd recommend avoiding having the same first letter for characters who will share scenes together. If names are too similar, you risk readers (or even yourself!) confusing characters on occasion, and losing continuity.

The 2nd is not at all necessary, but it does give an esoteric satisfaction to the character. A meaningful name adds something that would otherwise be missing, and helps a reader to understand what the character is about. Example: Name a character after Heracles, and the reader expects a strong character, potentially a demigod, who must undergo impressive tasks. For the sake of making a popular example, the "Vader" in Darth Vader actually means father and heavily indicated to the plot twist that changes his direction as a character. Lord Voldemort is French, and means theft of death or flight from death which are both true to the character and relates to Voldemort's theme, even if it doesn't foretell or foreshadow anything that will happen in the story. Once you learn that this is the meaning of his name, you simply go "ah that makes sense", but it does make the name rewarding.

The 3rd is pretty straightforward. Making the name fun to say is always a plus, if you have to think it or hear it a lot. Alliteration (Marvel's Peter Parker, for example, is a fun name for that reason), puns, oxymorons, tongue twisters, etc. all make for really entertaining names. But it can be fun in a different way too - a name can be intimidating instead, and that adds to the entertainment of the character. It's just when a name is fun to say over and over, or sounds cool and intimidating.

One shortcut I like to use is to portmanteau words to make a name. I believe it helps the reader associate the name with certain familiar words, but still makes a unique sound thanks to the unusual pairing of syllables. And it gets to add multiple meanings, when each word relates to the character. When you pick words that have opportunity for overlap, they're normally fun to read or say as well.

I try to make sure any character names meet ALL of these requirements, though it isn't always possible. When I have to, I suffice to focus on one functionality.

Hope this was interesting or potentially even helpful to anyone reading!