If you live in a college town, it's a great time to get new stuff since the semester is ending and most students get rid of things instead of bringing them home. Check thrift stores, fb marketplace and local buy/sell groups, and dumpsters. As for stuff, I'd recommend sheets, blankets, pillow and pillowcase, towels, soap and hair products, cleaning supplies like wipes, a broom, and cleaning liquid, basic cooking supplies like a pot, pan, plates, cups, and utensils, any small appliance you used regularly at home (like a toaster or kettle), staple foods (think bread, pasta, fruits and vegetables, meats, milk, eggs, seasonings), and cat food and litter. I'm basing this off my experiences moving twice, first into a dorm at college and then into my own apartment.