The dog breed is going to be an issue, every large building people listed and I’m sure you’ve found, will tell you a German Shepard is a restricted breed. You’ll need an exception some will give it to you but it’s a thing. Unless the dog looks enough like a mutt or other breed you can lie on the app.

Apartment size might be an issue. Some of those buildings don’t have 3BRs and some do, but often that’ll put you at $6-7k+. What do you consider a large 2BR? 1200sqft? If so you’ll find some of them, but if you want 1400-1500 that’s hard to find.

You should also check some of the condo buildings because plenty of them have people renting their condos. 88 Morgan, 2 2nd St, etc… you might find a 3BR rental there but likely have to pay a broker fee.

Good luck with your move!