The MiRF should be possible to interface to a PIC, the only hassle is that you must shift the levels a little bit - I’ve never done this, so I can’t help.
But try to look into interfacing 3.3v parts to a 5v system.
You’ll need two MiRF’s, one plugged into the PC and one for the PIC.
Bluetooth should work pretty well too, but I hear that it’s kinda clunky to get it set up properly - I’ve not looked into BT links myself for some time.
Good luck!
Edit: Coming to think of it, you might be able to run your PIC at 3.3 volts too (check the datasheet), which will take care of the level problem.
Would it be okay to use a bluetooth dongle instead of an MiRF to be connected to the PC?
If you mean, the RFID end is MirF and PC end is Bluetooth, then its a no no. Though they operate in 2.4Ghz range, they cant communicate directly, unless you can play with the BT chip/baseband processor.
You could use the same circuit whene you interface PIC to MiRF, hook the PIC’s UART port to the PC.