You're welcome. Glad to find something I could speak to.
BTW, I can think of cases where I might find it reasonable to build a battery charging circuit. A remote device, where batteries are used as an energy store, and charged with solar. Even there, I'd look for an IC purpose-built for the battery type. But the OP didn't indicate any such installation.
So for fun I followed that e-bay link. The seller is advertising those batteries as 'safe and environmentally friendly'. Hah! Well, the protected batteries are pretty safe, but lithium salts aren't 'friendly' at all, AFAIK. Just FYI, I've had the switch / regulator / protection circuit on 2 e-cigs fail in the dead-short mode. Didn't smell as bad as burning plastic, and I caught it before it did any damage.