GPS module to a Bluetooth Transmitter
As u mentioned that u want to move your GPS far away .... but frankly speaking Bluetooth modules will not work for far away (I have used one of them , it has some limitations and restrictions) , they are good only for in the range of room only like 10 meters to 15 meters maximum . and in case any obstacle comes between the bluetooth devices , your device will lose its signals !
So better use SIM900A (it is wireless) , it cost a bit harder than bluetooth , but much better than bluetooth !