Sally, are you more interested in taking video of your trip to Italy or still photos? That will be the most important criteria in deciding which type of Camera to buy. Most video cameras these days will also take "stills", but in my experience these aren't as good as those taken by a normal digital camera. Also, most newer digital cameras can take short video clips, but I'm not sure these are of the same quality as a dedicated video camera?
If you prefer a digital (still) Camera, there are three general types to consider - a compact "point & shoot", a "superzoom" or a digital SLR. Each type has benefits and disadvantages.
Compact P&S Cameras take excellent photos but are limited to some extent by zoom range (3-4x on many models), wide angle capability and ISO (film speed) range. However, they're pocket-size and are easy to carry.
The "superzoom" models provide better image stabilized zoom and in some cases slightly better wide angle capability, but these are often a bit larger so not as easy to carry. Some provide a greater range of manual controls, which offers better flexibility.
Digital SLR's are the most flexible and provide the best options to get good photos under a wide range of conditions. However, there is a "learning curve" which has to be considered. These are also much larger and therefore not as easy to carry, especially considering the extra Lenses and other kit that usually goes with them. These provide the best range of controls and ISO ranges and the quickest "start up", so it's often possible to get good photos under varying conditions that wouldn't be possible with other Cameras.
I always travel with a Canon dSLR & associated kit lately, as well as a small P&S to take out in the evenings. I find this approach works well for me. Even though the dSLR is more trouble to pack around, there's NO WAY I'll ever leave it behind! There have been MANY photos that I wouldn't have been able to get without it.
Cheers!