@Niomi Lebron a few quick pros and cons regarding FHA.
Pro: 3.5% down, can purchase 1-4 unit, FHA 203k can wrap repairs into the mortgage.
Con: MI, cannot drop the MI, must be your primary residence for 1 year, can only have 1 FHA loan at a time.
If you want to househack look into other counties with lower-priced duplexes or an SFR and get roommates. Personally, I've never been a big fan of condos, but you could househack a 2 bedroom condo with a roommate. For conventional, for an SFR I've seen 5% down, you'll have MI but it'll be lower than the FHA's and you can drop the MI once you hit 20% equity, for a duplex is 15% and 3-4 is 25%
I'm not saying you should time the market, but things are very hot in NJ. Maybe waiting and saving more wouldn't be the worst thing. You might miss these low rates but you might be able to get a better property in an area you want to live in. If the rates are that important, that they make or break your deal you probably shouldn't buy it.
The biggest piece of advice though, do not feel pressured to find something because your lease is ending. Talk to your landlord, they might be willing to put you on a month to month. When I was a renter that's what I did. I spoke to the landlord and explained my situation. They put me on a modified lease and it worked out for both parties.