1- Not Rome but i live in another big city that got them and never been robbed or even just pickpocketed by them in my entire lifetime
But my aunt was, both grandmothers too. Plus peoples i know of course
But other classic scenario is tourists who use public transports (bus, subway) or wait in lines or walk around in crowded areas, saying police they got theyr bag/backpack opened or wallet pickpocketed
Usually is a pick pocket thing btw, so is mostly about watch your shit and don't be stupid in crowded areas
2- All claim to be the best lol, idk if Immobiliare are
Btw you're right on Italy being pricey as fuck when it comes to homes, but there's an extreme price difference between big city and outside little towns near to it
The trick usually is find a nice place close to the city you're interessed, with easy trains link to it
I fucking love Greece (islands) but it's a personal thing, if i have to give a general suggestion i will watch Spain
Canary Islands got some nice deals i ear, my parents even considered buying one and go live there.
Few years ago there was homes at very very cheap price there, but from what i understood in recent times they raised