Using bluetooth isn't going to work I'm afraid. SDIO cards might use the SD card form factor but the fact is, the chipsets in the camera can ONLY use SD memory cards. They're not capable of supporting other hardware such as bluetooth, wifi, etc cards. It's a lot like the PC Card/Cardbus (PCMCIA) system which originally started out as being for memory cards and later expanded into supporting the PCI bus for general expansion.
As for a wireless card reader - look at wifi rather than bluetooth and you'll have more luck. You'll need to find one that's Android compatible in some form.
If you want to copy files away from a computer, if your phone doesn't support USB OTG (on the go) - which would mean you could connect a SD card reader to your phone - then I would look at either:
* Getting a cheap used MP3 player or phone that supports USB OTG and use it to back up the video file(s) you need to the phone/devices internal memory or memory card (try to find one supporting USB 2.0 rather than 1.1 as it'll be much faster).
* Buying a card copy device designed for photographers etc backing up memory cards in the field. These range from one button press devices that just back up the entire card (would take a while) to devices with an LCD screen allowing you to browse the file system and select a file to copy.
* Selling the camera and buying one with wifi capabilities
I have been thinking about this myself, so I will do some research on devices and report back. I have an iriver H300 media player that supports USB OTG but it's USB 1.1 so quite slow.
Hope this helps!
Edit: What android phone do you have? It might already support USB OTG in which case you just need to buy a USB OTG cable (and potentially another cable to supply additional USB power depending on the phone) and a single-slot SDHC card reader and you're good to go.
