Yea, it was comical when I went to find a slingshot. There I was amongst high-power rifles and ammo, hi-power bows and arrows with razor tips and all sorts of other "safe" stuff. And when the guy answered, when I asked about a slingshot, that "They're illegal" in New Jersey I almost burst out laughing. He told me they're illegal in NY, too.
Bow and Arrow vs. slingshot.
Used both. Didn't like using the bow near other houses -- too powerful; not to mention not recommended if it's been, like, decades since you last shot one. But...with judicious "creeping up on" how far to pull back for the job at hand, I finally got an arrow where I wanted it. But I was worried that a cop was gonna hassle me, or worse, all the time I was doing that.
Slingshot -- MUCH easier (without practice) and, IMHO, safer than the bow. I found it a LOT easier to aim -- got the sinker right where I wanted it the first time I used it. So the time spent outside using it is much shorter than with a bow (at least for a non-expert). YMMV (and looks like it does!)
BTW...the bow and arrows came from a hamfest!