Yes, you can connect the SSC-32U to either of these boards. Note that we do not have sample code for using the two together, but the communication protocol for the SSC-32U is quite straightforward.
Alternatively, you can use the microcontroller directly to control the arm, without the SSC-32, as is the case with the BotBoarduino.
Connect the Tx and Rx (and GND) lines from the microcontroller to the Rx and Tx (and GND) pins on the SSC-32U.
If you only want to use the microcontroller, the main issue will be the connections to the servos (ideally each pin is broken out to include ground and power).
Not absolutely necessary, and you can really use any RC servo controller, or microcontroller. The SSC-32U is directly compatible with the software suggested.
Some people prefer these programs to working with the Arduino IDE.
You can add the product to your cart on www.robotshop.com/eu and you will see several shipping options.