recomendation on a board

which is the best arduino board or combination of boards to use to control 2 stepper motors, 2 encoders, get data from a camera and transfer it to a remote computer and click the camera. basically i need to build a remotely controlled camera.

"Getting data from a camera" sounds like a job for a USB Host Shield

""Transfer it to a remote PC" depends on how remote the PC. Can you run a wire? Is it within WiFi range? Is it within Cellular range?

Given the right shields you should be able to do it with an Arduino Uno.

the remote computer is trough wired connection. and i should be able to give commands to the board from my computer, that is the robotic cam should work in real time.

Connect the Arduino and a webcam to a small USB hub. The Arduino will provide control over the steppers and the Webcam will provide real-time video.