I'd be surprised if you have a choice. FTTH is not that common yet. Just decide what performance you want from your connection and what you want to pay and buy a service from a company who can supply. The technology is not that important.
At the base level fibre and cable are just different types of cabling.
Technically fibre is "better", light sent through glass (fibre optic cables) doesn't suffer from electrical interference and is faster (lower latency) than an electrical/rf signal sent through coaxial cable.
A better question for an end user is.... what ISP's offer services at my address and which is the best for my particular needs and how much I want to pay.
But if you have done the star wiring properly then fibre will eventually be a very good technology. You can't exactly leave a modem sitting on the living room floor with a computer plugged into it, so if your place is prepared with a local network distribution point then fibre where its all headed. Most technologies use fibre one way or another so its just about how close the fibre gets to your place.
Qualified in business, certified in fibre, stuck in copper, have to keep going ^_^
Telstra's network (and I am assuming this is the "cable" you are talking of) is actually an HFC network ( Hybrid fibre coax), the main runs to local neighbour hood cabinets are fibre, and then coax is used for the local distribution drops to individual customers.