The earlier posters make a good point about having a different SSID. I recommend trying both identical and distinct strategies because in my experience some operating systems in wireless client devices work better with the identical SSID strategy. I have my two ZyXEL WAPs that are each set to several SSIDs per WAP, and the two WAPs both offer some of the same SSIDs plus the odd unique one.
I have a ‘standard/normal’ SSID: that same SSID is on both WAPs; there’s also a ‘guest’ SSID which is for visiting friends, not strangers; and there’s an SSID that is just for me alone. The reason for that is because my WAPs each have two fully independent radios in each box, so it’s like having four fully independent WAPs, on four frequencies, each of the four supporting multiple SSIDs. The me-only SSID binds me to a physical frequency that has no one else on it so I always get full speed when talking to another machine on the LAN.
Very flexible software comes with the better WAPs. Mine are incredibly old, 12 years old, so one day I will have to replace them, but they are very powerful and flexible.