Dianna,
in this particular case I have an open nest. I can take the nest out of the cage, but I would rather get the chicks out of the nest one by one, when the time is right, rather than taking the nest out of the cage every time I need to band a single chick and stressing the parent. If I have to take the nest, than in the future I will think about setting my nests the way that it would be easy to remove and put them back.
Renee,
Maybe it sounds silly, but when I tried to pick the chick with my finger it went deeper into the nest and I was unable to grab it by the sides. The Green Singing Finch’s nest cup schematic is bellow.

As you can see, it is quite small and with the birds inside there is not much space for my fingers.
Liz,
I’m not sure what you recommend as a nest for waxbills. All of mine preferred wicker nests like this…

or this….

or they made their own nests like this…

where I don’t have a chance even to look inside without it breaking apart or using special equipment…..or using a vacuum

.