Arduino Uno is good, it is the easiest Arduino board.
Install the software, and try to upload the 'Blink' sketch to the Arduino board.
Read also the "Getting started" on the main page.
This is the Sparkfun page of the ADXL345, https://www.sparkfun.com/products/9156
It uses 3.3V and I2C communication.
The Arduino has an 3.3V output, so you can use that.
The I2C library is called "Wire" library, http://arduino.cc/en/Reference/Wire
The communication is I2C, you use analog pins A4 and A5 of the Arduino Uno for I2C.
Use code from Sparkfun, or look at the Playground sections, http://playground.arduino.cc//Main/InterfacingWithHardware#motion_accelerometer (search for adxl345).
This is the Sparkfun page for the micro SD card, https://www.sparkfun.com/products/9802
The SD library is included with the Arduino IDE.