I'm finding myself increasingly frustrated with my Canon S95 which I've had for a few years. It takes great pictures when the subjects can stay still, but with a toddler, I feel like I miss a lot because the autofocus is slow and there's shutter lag.

I'm looking for a new point & shoot which can shoot RAW and can autofocus super fast and has minimal shutter lag. Basically I want my Canon 7D dSLR in a smaller package!

Any recommendations?

Here's my contenders, so if you have any experience, I'd love to hear the pros & cons!

Fujifilm X100T
Sony RX100 III or IV
Olympus E-PL7
Olympus E-M5
Panasonic Lumix LX100