As some others said, that is asking a lot for the price in the Providence area. You might not be able to check all those boxes without exceeding your price range.

I am moving out of my apartment (bought a house), and this apartment is $1,800. Just to give you an idea: It is 3 floors if you count the loft area, 2 full bedrooms and 1 room that is more like an office. In unit laundry but no dishwasher and does not include utilities. Is about 5 min outside of PVD and is dog friendly.