If your USB power bank can do 2.1A, then the Xtar VC4/VC2 and VC2 Plus Master can work well.
Chris
+1 on the VC4. It's what I have. The big thing with running a charger from a power bank is making sure the power bank has enough capacity to fully recharge the cells that need charging. For example, I have a 15000 mAh power bank that will put out 2A. But what most people don't realize is that that 15000 mAh is in 3.7v Li-Ion cells. After factoring in the boost circuit needed to output 5v, and the losses that entails, my 15000 mAh is closer to 10000 mAh. Now, I have four 2300 mAh cells in my TM11. Assuming 100% conversion in the buck circuit to convert the 5v USB to 4.2 charging voltage, I barely have enough capacity to recharge the cells once. That works fine for me, but if you use 2600/3200/3400/3600 mAh cells, you might find yourself running out of power bank before getting your cells charged, depending on how many you are trying to charge.
The nice thing about have a USB input charger is that I can also use my computer USB port, any of my wall warts, or the USB adapter in my car to run the charger, as well as my power bank. Oh, and I do have two power banks, so I am covered any way you look at it.