How much should I save up before purchasing a rental?

[Chris Read]

Hello, I am new to the group and just started listening to the BP podcasts. I have been blessed with 8 single family rentals through inheritance. All of these rentals are paid off so there is no debt in this equation. I want to take this blessing and continue to expand on it by adding to my portfolio, but want to do so in the smartest way. So, how much should I have in savings for the rentals before buying another property? I would also welcome any advice on reading material or otherwise that would help me getting started in general. Thanks!

P.s. I have hired a property management company for these properties.