Multiple Wi-Fi APs: Use same or different SSID?

I have multiple Wi-Fi access points in my house. What's the best practice, should I use the same or different SSIDs?

I currently have different SSIDs because I like to know which AP I'm logged in to. But handover takes ages. Would that work better/faster when using just a single SSID?

My clients are mostly iPhones and iPads and the APs are non-Apple (AVM Fritz!Box and Digitus).