Trying to make an arduino nano project which uses an accelerometer wireless

Hi, I successfully connected an Arduino Nano to an accelerometer to make a project in Pure Data. Now I'm trying to make it wireless using an HC-06 Wireless Serial 4 Pin Bluetooth RF Transceiver Module.

I'm new to electronics so my first question is how to power this with batteries? My research has led me to try and use AA batteries but I'm wondering if there will be any complications as there will be this Bluetooth board and an accelerometer in the circuit?

Any help would be appreciated, thanks.

4x AA batteries, connected to the Vin of the Arduino, should do nicely.
The Bluetooth module needs 5V so you can connect that again to the 5V pin of the Arduino.
Accelerometer may take 5V or 3.3V - make sure you get that powered at the correct voltage (an Arduino provides both), and use level shifters for the signals if needed.