How odd... I grew up on Long Island, my parents came to LI from Brooklyn and we used all of your examples interchangeably with the exception of carriage/shoppingcart (we said shoppingcart).
I was born and raised in Brooklyn, my mother was from Staten Island, my father from Montpelier Vermont, so you can imagine my pronunciation of things is somewhat of a mixed bag. I remember my mother would pronounce bottle without the "t" (I don't even know how to type that). She carried a pocketbook, not a purse.
We would say "chest of drawers" for a tall dresser; a "dresser" would be a low-lying one that had a mirror on it. My father moved to NY when he was about 10, so he lost a bit of his Yankee accent. He would say "ahnt" for aunt, whereas my mother would say "ant".
Living in an apartment, we would go down into the cellar, not the basement. And you would put your groceries in a shopping cart. Speaking of Long Island, I remember it being pronounced as "Lawn Giland"