How is the public security in France and Italy? Is it safe to travel there?

I have traveled to Italy. I originally wanted to go to Paris, France, but the security situation in France has been very bad recently. There are always extremists making trouble. Haven't there been several bombings? So I didn’t dare to go. The security situation in Italy is not very good, and there are many thieves and pickpockets, so be sure to watch your bags when shopping. As soon as we got off the bus at Roma station, we encountered some women from Jipu Village blatantly grabbing bags. And she put her hand directly into my husband's bag. Fortunately, my husband is tall and pushed her to hide. At that time, the girls in the group tour were so scared that they screamed because there were some long ones inside. He was a very fierce man, but it was only after the local security guards came that nothing happened. After that incident came out, I was very depressed, and all the beautiful longings for Italy in my mind disappeared. When traveling to Italy, the tour guide will tell you to put your bag in front of your chest. It is said that some bad guys deliberately bully Asians, spilling red wine on tourists, and then demanding compensation, etc. However, this does not happen frequently, so it doesn’t matter if you pay more attention to it.

What's more, there are many Chinese doing business in Italy, and there are even some very young girls opening shops. Aren't they all fine?