If you're keeping your current (non-connected) camera but still want to do things wirelessly, buying an SD card with a built in Wi-Fi radio could be an option.
The biggest player here is Eye-Fi, which produces a range of cards. You'll just need to pair your new storage with an existing Wi-Fi network (choose your home one) and away you go.
However, another option is to link the card to a tablet or laptop through the Wi-Fi connection and transfer them that way – you can then upload them however you fancy.
A 32GB Eye-Fi costs a princely £60/$100 – around six times as much as a standard 32GB card – and will drain your battery more quickly, but it's a good trade-off for connectivity.
Toshiba's Flash Air is cheaper, but be warned: it won't transfer your photos automatically to another device. You'll have to do that manually.