As long as you can show financial stability, rent more than one property at a time is totally legal.
I can help you in your quest! I work in a brokerage firm where we specialize in rentals.
You might contact me by e-mail or phone to discuss your needs and criteria.
Looking forward to hearing from you!
Licensed Real Estate Salesperson
102 Fulton Street
There is no law that says that you cannot rent more than one apt. in NYC. The standard formula is you need to be able to show that you earn forty times the monthly rent as your annual income. I would suggest you not exceed that for the addditional properties (all combined rents).
Halstead Property, LLC
Mitchell Hall, Associate Broker
The Corcoran Group