WIFI camera

Hi there,
I want to build and RC boat with arduino. I have build the remote controller with 3D printer. I have left space for LCD.

I want to place a wireless mini camera to get live video from smartphone.
Probably this part will be standalone. Arduino will turn on/off the cam with mosfet (power on/off) and it will rotate it with servo.

Arduino related:

  1. Is there any possibility to arduino to handle the part on which local IP to connect?
    Generic:
  2. Do you know any mini wireless camera cheap and HD to suggest me?
  3. Is there any chance to display the video in remote LCD Screen (monitor)?
    I mean instead of having mobile, if there is a ready solution(or possibly to build one) that can be placed inside of my RC Controller.In other words, a "wifi client with LCD", cheaper that a small tablet.
    Screenshot by Lightshot