The iconic weapon of the Jedi, the lightsaber, is a weapon which 1. can only really be used at close-range (unless you throw it, which you can only really get away with if you're using the Force to begin with), and 2. requires massive amounts of skill and training just to avoid slicing your own face off, let alone actually using it regularly (and again, you probably need Jedi reflexes and precognition just to get a foot in the door).
There's a reason why they chose this weapon instead of, well, literally anything else. That reason is that killing isn't what Jedi are all about. They don't want to kill people. They aren't "great warriors"; "war does not make one great" and all that. George Lucas describes the Jedi as "intergalactic therapists"; first and foremost, they're negotiators and diplomats, bringers of peace, and they certainly aren't made for war. Indeed, a situation where killing is the only option is considered a failure state.
Thus, the lightsaber is the weapon of the Jedi because when your only weapon is a lightsaber, killing requires intentionality. It requires training, practice, and so much control, so many different kinds of control. The lightsaber at your hip is simultaneously a signifier that you don't want to use it, and a warning that if left with no other choice, you will use it with deadly skill and efficiency.
Sith use lightsabers specifically to flex on the Jedi.
