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The thing about smartphones, John, is that regardless of the screen size, they all (within reason) can do the same things. Where screen size comes into play is "comfort of use"...a larger screen is easier to read, especially for "more mature" folks :) but the trade-off is that a larger device is sometimes less convenient to carry around, at least in the manner that many folks are used to by simply using a pocket.
Decide what functionality you need first. Then work on deciding what device is best going to fit your needs for both size and capability.
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I have a iPhone 6 SE which is the smaller size that still fits in your shirt pocket. Avoided cellphones as long as I could, but now realize its a valuable tool.
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Yes, the 6 SE is based on the original 5/5S footprint, so it's more compact while still having enough power to run the current operating system and apps.