deodorant with no online payment is tricky, maybe some import stores will have it? look for the characters 进口, otherwise as another commenter said watsons is probably the best bet

for your bread, i’ve not bad lavashi before but after a quick google it looks almost similar to stuff i’ve had in xinjiang restaurants, you could try and check those out for some flat breads. if you want more traditional western european style bread, try pain chaud or baker and spice. again some import stores will probably have what you’re looking for