Our needs for an apartment was the same as yours and we were successful through a broker, as many people(with apts. to rent) don’t advertise to try to make sure they will not end up with “problem tenants”. Yes, we did have to pay one months rent as her fee but it was far less than what our old neighbors had to put into such type of an apartment.
Our apartment was in move in condition and the rent very decent.
Papers as Hamodia and Yated will have apartments listed through brokers. You won’t regret it. Good Luck!