I can't thank you guys enough for the tips. You guys + the other info out there on hamster communities have helped make this a great start.
We had some good interactions today, and she stopped testing my hand tonight. The last one was pretty funny! She came out and was totally standing up by me for treats, then showed me pretty quickly she was done with a zoom to her burrow. A "snack and grab" job on her part
It seems like she keeps signaling to come out, definitely curious to keep climbing on me at least. I'll try your hamster taxi idea, and practice gentle lifts with her too.
Our coffee break time:
https://streamable.com/qcie7x
https://streamable.com/pkj5mh
Did his nip hurt? Syrians are just so much bigger :O