I don't want to depress you but... if you're looking for a career in TEFL or considering it as something more long-term than a pleasant year off from the real world, I wouldn't really start looking in Italy. It's a fantastic country to live in, great food, lovely people, nice weather, lots to see and do, but frankly you'll be too broke to see or do anything. Italian schools pay dismally - about 800 euros a month is standard, and a lot of them operate in "nero" - which means illegally and not paying taxes. It also means if you get sick you don't have a doctor. A lot of schools now require teachers to open a VAT number (partita IVA) and they pay them through that - however it'll cost you about 1000 euro a year just to pay the accountant, never mind the tax and contributions on top of that.
That said, there are some decent schools - AISLI are an association of good language schools who all pay relatively decently and treat their teachers well - I'd start by sending CVs to all the schools on their website. If you've got a British National Insurance number, there are some schools who'll hire you on a British contract (paying tax and contributions in the UK) and you work out much better on that. If you're just coming for a year and want to have some fun, go to any old school at all which offer an apartment as part of the deal so you don't have to find one or worry about what to do with it when you want to break the contract. In my personal experience, schools that offer apartments pay in "nero" but if you're only coming for a year maybe it doesn't matter to you. I'd also look south as opposed to north - I've heard the cost of living is much cheaper there, and wages are about the same... (plus the weather's generally better!!!)
I don't mean to put you off but it is really, really difficult to make a living in this country - I've been here two years and will have to leave for good this summer unless I find a non-teaching job by then (much as I love the place)...
Good luck with the rest of your course!