How much rent can I afford ?

Looking to move on my own for the first time but not really sure what my budget should be. I’d also like to avoid needing roommates but not sure if it’d be possible.

Monthly income (gross / net): $6,364 / $4,772 (45 hours per week)

Credit score: 648

Savings: $9.3K at the moment but I’m looking to move next month so it’ll be closer to $12k, $13k

Expenses: no kids, no pets. I do own a car though.

I’m also not entirely sure what neighborhoods to look in. I currently live in Brooklyn but work in the Bronx. Astoria is my first choice currently though as I’d rather not live in the Bronx.