Type C adapter will work for all your needs.. buy several of them as they are inexpensive but easy to misplace during your travels.
Type C is a two round pin plug that is basically equivalent to the type A used in North America, which has two flat pins.
Type L has a 3rd pin in the middle (the ground) and is basically equivalent to the type B in North America, which also has a 3rd pin (ground) besides the two flat pins.
I have type L sockets in my house in Italy but the type C adapter works in all of them too. I do have a couple of L adapters, but they aren’t really necessary for any of my devices. Type C works for all.
Type F is the German “shuko” plug. It has two round pins also, but they are fatter. Older houses in Italy don’t have sockets able to fit those, as they only take type C or L, where the pins are slimmer. The only way to fit a “shuko” in a C or L socket is with an adapter, so no reason to bother to bring a type F to Italy.