NY is basically the same as California. If you recall, the Governor of NY and the Mayor of NYC were literally begging people with money to come back to NY. Their taxes and ridiculous social program expenses are driving people out of the state. People are fleeing these two States in droves.
If someone leaves NY for those reasons, they damn sure aren't coming to Los Angeles.
And just for grins, I checked NY to Austin, TX for a 26' truck. Appx $3k Reverse is about $1k.
At $3k it seem you could hire actual movers, but I've never hired one, so I could be way off on this one.