We've got our four finches in a large double flight cage (this one: https://birdcages4less.com/page/B/PROD/PA5699 ) in our bedroom. It's a great size for them, and we love being able to sit in bed and watch the birds fly around.
The only problem is that we also use the bedroom well into the evening (usually until between 10 to 11 PM). I've been turning off the cage lights around sunset and then covering the cage with a sheet a few hours later. That seems fine if I move slowly, but once the lights go out for the night, it's too dark for them. One of my boys freaked out last night when I turned the lamp off, and I was scared he'd get really hurt. It was pretty clear he couldn't see where he was going.

Should I cover the cage while we're using the lights in the bedroom, then uncover it when we go to bed? That would allow some of the room's ambient light into the cage (and maybe the street light from outside). Or is it better to put a dim light inside the cage, under the cover? Any other ideas?
Thanks in advance!