Rent
Neck and neck
Los Angeles and New Orleans are about even on rent.
Los Angeles
$2,150/mo
New Orleans
$2,150/mo
What this means for your life
Typical rent in Los Angeles is $2,150 a month versus $2,150 in New Orleans, close enough that housing cost should not decide the move by itself. Factor it into your budget alongside salary differences between the two markets, then pick the city that wins the categories you actually live in: safety, schools, pay, or weather.