Is there an adapter to connect an iPhone to HDMI, USB, and charge too at the same time?

[HailAlistair]

I can't find an adapter for iPhones to connect to HDMI, USB C or A (preferably both), and charge simultaneously? There are times when I have to type on iPhone, and I would love to connect it to a screen + keyboard and not have to worry about battery.

 

[joevt]

I think you need to wait for a USB-C iPhone to do video and USB at the same time. Does iPhone support bluetooth keyboard?