The device linked to is a charging hub that will require a 5v 2.5a dc power supply to run your pi with.
Its sold as a Pi solution as it can both provide power for a pi and its usb devices such as disks etc.
if its a low cost psu to provide power for the pi via the mains electricity supply, then you can use something way cheaper, fwiw i use a £shop ($shop in the uk) usb charger rated at 2.1a to provide power to both my Pi-0W which runs headless without anything plugged in via usb or gpio, and a small rf/wifi bridge device from a single power socket.
However both your suggested projects sound like you want t use battery power and powerbank is a term usually used for battery supplied dc power devices?
as for whats the best option, that depends totally on exactly what devices are attached and will draw power and how long you want the device to operate for on a single battery charge. a £shop single 18650 lipo battery power bank can power a pi-0w and may be sufficient to provide power to a toy gun sound maker for hours of fun, but try powering a rc car controller and its motors for longer than 5 minutes,,, not that you would..but i am stretching credulity to make the point