Hi Antonio,
Welcome to the forum firstly!
Secondly, this place is great to research and learn more about the UK and ways to legally move here. Ksand24 is particularly notable in that she's able to provide accurate information with regards to the ways and requirements of getting Visa's along with various aspects of UK life as she's a Brit from here but has lived in the US as well. KF Dancer also has excellent knowledge too. There's plenty more that would take up the whole post for name dropping who are equally versed in various aspects. I mention them all in that they're regular contributors here so definitely use this forum along with any others to help build your knowledge up in order to evaluate if a move here is indeed in yours and your family's best interests.
I, myself have visited the US more times I can remember, have lots of family and relatives there, all their extended family and friends too. I used to work for 3 US IT/Financial software houses, have some of my personal friends who have lived in the US, along with now more business associates over there too. I like to think that along with the many and varied members here on UKY (some of who'm I've met at local events and drinks etc) I have a unique perspective on things to do with both countries, but I also tend to think a little 'against the grain' here on UKY for when it comes to thinking about moving to the UK. I've seen MANY people in exactly your situation come here and then, move back relatively quickly once the 'romance' had worn off. To keep things balanced, I've also seen some remain here after the 'romance' had worn off too. The reason I mention this as so far you've got the 'romance' thing only as your reason to move.
As mentioned by KFdancer, the next few years at least, and most likely longer into the medium/longer term future of 5-10 years+ it's looking more likely immigration into the UK will become even harder than it was already. Just today, a large proportion of the UK population are cheering that it's looking likely Theresa May will push for the end of the free flow of workers AND coming out of the Single Market AND to end the rule of the European Court of Justice
http://www.express.co.uk/news/uk/794046/theresa-may-end-free-movement-britain-single-market-european-court-of-justice-conservativeSo your current thought of getting Italian Citizenship, then getting easy 'free flow' migration is looking difficult and that's without the notorious slow pace of Italian red tape.
You'll need to look at alternative routes to come here to the UK, or what's potentially going to be left of it if the Scottish to decide to go independent and also, as it looking likely as well, if Ireland also unites with Northern Ireland and also goes independent.
What kind of career/work/business are you in? I think soon, the best chances of moving to the UK will be if you are in a career with a severe shortage of candidates here in the UK and suitably experienced and qualified or, if you can invest significant amounts into an existing business or start a new one here.
In amongst all your research, come to visit the UK and see if you can either spend 1/2 weeks here quite frequently, or perhaps a longer stint of 1/2 months so you can get a better feel of day to day living and aspects that tie in to what you'll read here and other resources.
If you can provide more information on your background, career work/business experience, age and skillset etc, then more useful information from members here may prove useful.
Cheers, DtM ! West London & Slough UK!