Have a look at the adafruit
TTL Serial Camera. There is a nice tutorial on how to use the camera.
Also look at the adafruit
Data Logger Shield, and the tutorial for that, as well.
The basic arrangement would be to read image data from the camera over a serial data link, and then write the image back out to the data logger as a file. The adafruit libraries make this a fairly simple operation. The image file will be JPEG, and the SD card will have a standard format, so the files can be read on any computer. There is some
sample code here which does exactly this, so you can see what's involved.
You won't be getting full-frame-rate video with this setup. You would need higher-performance hardware for that. This setup is intended for snapshots.
Adafruit doesn't current have a bluetooth module for sale, but you can have a look at their
XBee module, which is a similar technology.