new to this, simple question

hey guys,

I'm pretty new to this and have some basic questions...

I just need the simplest of arduino boards that could some run simple code (C++ ??) and from there: control 3 servo type motors.
The system is time dependent, so it should keep an internal clock, be able to set time without PC connection (2-3 buttons).

What type of board/chip should I get?
How will I program the board? (connect it to laptop so I can push the code in)

The servo/motors must be able to:
-keep rotating in the same direction indefinitely,
-be pretty strong ~35N of constant torque,
-don't need to be fast, just 5-25RPM @ ~35N constant torque
-not budge: hold position regardless of speed or external loads (~35N torque)
-hold speed: hold an exact fast or slow rotation regardless of random external loads (~35N torque)
-the arduino board should control and be aware of the exact servo position (=<1 degrees)
-servos CAN/SHOULD have external power, arduino just for control purposes

My question is: could you guys could get me some links for simple board/chip/supplies to get this done? point me in the right direction? I do have soldering equipment, basic electrical circuit and device knowledge, and C++ knowledge.

Thanks!!

Any type of arduino will do this, so get the UNO.
I think your motor specifications are a bit unrealistic. You do not need a servo, that will not do what you want. Perhaps stepping motors will do but you have to constantly pulse them.

As to the software yes you plug it into the computer, see the links at the top left hand corner of this page.