Apparently, I need an air compressor (?)

Amelie has so many toys now but her clear favorite is the inflatable bouncer. Thanks Joe! But its  shrunk quite alot now with all the jumping and I’m worried that she might hurt herself if it gets any flatter. So the obvious solution is to re-inflate it but I’m still trying to figure out how – I’m not really keen on the idea of hand-pumping it up again…and again in the future. There is a tire inflator in our tool box but no-one here seems to know how to work it – it looks like the Milton S506 shown here. I have been told I need an air compressor to make it work? Is that right? If so, which air compressor? – there are so many to choose from and I’m not too keen on trying to figure that out….any ideas anyone?