iPhones are not noted for their wireless performance, so as long as you have a decent signal and connection, I would not worry much at all about an iPhone connection. I rarely ever look at the connection on the iPhones here.
When you move the iPhone from one area to another, it may help to temporarily turn off the WiFi on the iPhone for a few seconds, then turn it back on. That will force the iPhone to scan again for a good signal and hopefully pick up the signal from the closest AirPort router.
Temporarily switching the iPhone to Airplane Mode for a few seconds, then switching off Airplane mode will do the same thing.
Mac laptops and the iPad pro will usually automatically "switch" from one AirPort to another to pick up a stronger signal as they move from one area to another. But, iPhones do not do this very well.....if they do it at all. So, you have to help them out a bit if you want to look at connection quality on the iPhone.
Manually turning off the WiFi on the iPhone when you move it from one area to another and then turning it back on will improve the chances of the iPhone picking up the "best" signal. Or, switch the iPhone to Airplane mode for a few seconds, then back to normal.
Give that a try when you can and let us know if that might help.