Assuming whatever credit card you got reports to a credit bureau, you already have a credit report and score. It might not be high, but it exists. However, it is important to remember that until your oldest line of credit hits 6-months old, many creditors will not even consider you for a line of credit (as you are considered very risky due to having nearly no credit history). You can get an annual free credit report from annualcreditreport.com or purchase a package from a site like myFICO (I personally subscribe to the FICO Ultimate 3B). Also, did you take out any student loans when in college? Assuming you are paying these, this also helps to establish a credit history.
Based on what you wrote, you have an open revolving line of credit via your card and an installment account via your car (and potentially installment accounts via student loans). You said you opened the card in November of 2016, so it has been reporting to CBs for probably 3 months (depends on the bank, some are weird and don't report the first few months).
I'd say your first step forward would be finding out what your real FICO scores are so you can better determine which banks are suited to your profile. Assuming a low score and thin credit history, I'd recommend trying for a Discover IT Secured card and/or a Capital One Secured card. These cards require a deposit that is eventually returned to you once the card "graduates" into a full fledged credit card 7-12 months down the road (Discover considers graduations after the 7th statement).
What you really want to do when you're this early in your credit journey is to establish a few lines of credit and pay them off in full every month for at least a year. The major factor that will be holding your score down at the moment will be AAoA (average age of accounts). The longer you hold onto your accounts, the higher your AAoA will go. It's important to remember that it is preferable to open a few accounts now, at the same time, so they all age together; rather than opening one now, then another one in a few months, and another a few months after that because your AAoA will barely increase (as each new account lowers your AAoA).
However, if your scores are fine and you're paying all of your loan and credit card bills on time and in full, then I'd hold off on applying for new cards until you secure that apartment. You don't want many recent hard pulls (or HPs, basically when someone else checks your credit to approve you for a card, loan, mortgage, lease, etc.) on your account when trying to land a mortgage or apartment.
Best of luck and welcome to the forums!
