Well first I'd suggest you to determine which platform suits your project better, either Bluetooth or Wi-Fi. Each of them have their cons and pros so I'd suggest you to check which of them apply to your project. Once the platform is selected then you have to choose how to send the data.
I mean, for example if you choose to use Bluetooth then you'd have to select a profile to work with, it could be SPP, FTP, PAN, or any other profile. Again, you'd have to investigate which one fits your project better. If you were to choose Bluetooth then I'd recommend you to start with the Intel® Edison Bluetooth® User Guide.
If you rather use Wi-Fi, then again you have several ways to select how to send the data. You could use Wi-Fi Direct, sftp or any other mean. Anyway, I believe a good starting point would be on Intel® Edison Wi-Fi User Guide.