Oftentimes, race is the last thing I think of.
I find that, when your character really NEEDS to be a specific race to work, it is probably a shit character to begin with. Many characters just end up being blandly defined by their race, e.g. "I am Elf/Dwarf!" with no real personality to it other than the most baseline shit that characterises those races.
Most of the time, I start imagining new characters as a human. Humans are pretty much a blank slate, and you can imagine almost any society or quirk on them. Most of the common races are humans taken to some extreme anyway (dwarves and muh grudges and law, elves being elitist cunts, tieflings are bastard- or whoresons with a twist, etc.)
If I later find that a specific race may fit nicely and give some extra flavour to it, I'll change it.
There are of course exceptions to it, Kenku's for example.
Depending on setting or game, even the 'base' races may have a proper thing that makes them more 'alien' from basic human behaviour, like finally playing up the elven etherealness and timelessness, giving them a whole different perspective on life (which D&D likes to claim, but is never actually reflected in the official settings or by any character anyone makes)
Still, I find "can I imagine this as a human" a pretty good test for most characters I make for races that aren't too alien from humans.