Do Anker USB-C to Lightning cables support data transfer? 

Yes. The maximum data transfer speed is 480 Mbps.

Do Anker USB-C to Lightning cables support Power Delivery?

Yes. Pair up with a Power Delivery charger to charge at up to 60W.

What kind of charger should I use with an Anker USB-C to Lightning cable?

A USB-C Power Delivery charger.

Is Anker USB-C to Lightning cable USB 2.0 or USB 3.0?

All Lightning cables are USB 2.0.

What is the size of the Lightning connector?

Length: 6.65 mm

Width: 6.65 mm

Thickness: 1.5 mm