Check your state DMV site on line. NY has a link to see if the "vanity plates" you want are available or already taken. That should eliminate some possibilities without surprise.

Seems the displacement plates are usually uncontested/available, like 345 HEMI or 370 HEMI or? 429 HEMI.

Plates like LUV2XLR8 are tough to get. The folks that have them already usually transfer them to other cars.