Jersey natives please help

Hi! So my fiancé and I are moving to Jersey from Florida. Our rent is currently around $1500 so with Jersey being a tad more expensive our budget is around $2100 just for base rent not utilities. First is that a reasonable budget for a 1 bedroom in Jersey? I plan on commuting to New Brunswick for school as well as to New York for work and fun. What are some cities I should be looking at and what is the vibe like? Anything helps. Thank you!