I've been playing with the esp-12e and got it working with Movi by setting the baud rate to 9600, if I understand correctly, the updated library with ESP support at 115200 needs to be compiled before that rate can be used?
I was able to assign arbitrary pins for the communication between the esp and Movi, I picked GPIO4 and GPIO14, wired to Movi's pins D10 and D11 respectively. This allows me to keep the ESP's default TX/RX pins free to communicate with the PC and upload new sketches.
Any GPIO pin should work, although the "dual purpose" pins #0, 2, 15 and 16 should be avoided as they could inadvertently end up being driven high/low while the ESP is being reset, causing unexpected results.
As using the dwfault library I couldn't get the serial communication with Movi to work above 9600, in the LowLevelInterface.ino sketch I split the
into two variables with 9600 for the mySerial.begin() of the Movi <> ESP side, and 115200 for the Serial.begin() of the PC <> ESP side, which works, but ultimately didn't do me any good as the HELP commands didn't print any faster since it gets the output from Movi... D'oh!