I have a 32gb too, wi-fi only... I don't have any problem getting the HDMI to work on my TV. The HDMI port is the leftmost one as you look at the bottom... make sure you inserted the MICRO-HDMI connector the correct way, which is with the smaller end down as you look straight at the bottom of the PB (PB glass topside).
I don't mean to suggest you didn't connect it right but trying again never hurt...
Now... as far as SETTINGS go, you have to click the wheelie at the top right corner of your screen and CHOOSE the HDMI category (11th. on the list that you see now).
Then, you must trun ON "Default to Mirror Mode" so that your tv can "mirror" what is on your PB screen. This is probably what is wrong... it is not turned "ON".
Note that you have some other settings you can play with but they are usually all set to go:
--- ASPECT RATIO - is defaulted set to fill; --- CONNECTED TO - (it tells you if you are connected to the tv); --- DISPLAY MODE (something appears here after you connect I think); --- HDMI AUDIO (make sure it is set to "ON").