Firstly, I would like to say; Welcome to the Fourm!

There are people against and for removing frogs for feeding.

I am personally for it, it keeps their enclosure much cleaner (no cricket legs, droppings, etc.) and as you stated, it allows you time to do normal maintenance, while they eat.

Just be sure to rinse your hands VERY throughly before handling your frogs (to clean off any chemicals, cleaners, etc.) and try to minimize handling becuase amphibinas absorb the salt and oil naturally found on our skin through their skin.

~Royce