Sorry, but (not in the case of the home health aide which is totally different) you absolutely should sell or hock your luxury items before you go on welfare. Many an honest businessman has had to do that with personal and business possessions during hard times – and they are the ones who go on to succeed again.
It is a complete busha and chilul Hashem berabim to use aid cards if you obviously have luxury possessions. Plenty of fraudsters double-park new luxury cars in front of the grocery and buy the most expensive things possible with food stamps they get by pretending to be single mothers because their weddings were never registered. They have nothing but expenses and their husbands have cash businesses. One day there will be an ezras nashim in the Otisville shul.