I have an iPhone 5S, iPad 2, Sony Xperia Z5 so I will give you my personal recommendation
I liked using the iPhone 5S and iPad 2 combo as iOS is nice, but to be honest now that I am back with Android for my cellphone it's a good change, really big games take a split second longer to load sure, but the added memory via memory card slot is a huge plus and I would strongly recommend remembering that iPhones do not have added storage my biggest problem with the iPhone 5s 64GB was that I constantly ran out of storage and was forced to delete music, videos, apps ect. on the regular.
I would say an iPad - Android phone combo is a good match.
However it is up to you personally and make sure the Android phone you pick suits your needs if you...