Some rental units come completely furnished. Others have only a stove and a toilet. Find out what's included. Don't forget to ask about window coverings. Carting your stuff from your parents' home or dorm room to your apartment will cost you time, maybe money - depending on how far you're moving and how much free help you can enlist.
Rental insurance covers that and is surprisingly inexpensive.
As you see, renting a place costs extra cash right at the start. Plus you have ongoing monthly obligations. Keep the latter to one-third or less of your monthly income, or your new haven of independence may feel like a burden.