shop around, but I would recommend getting a versatile tool. something you can use leashed or leashless, mixed or pure ice, and maybe even for plunging in the snow, if you're into that.
Eff that. Go leashless from day 1. You will be happy you did.
Honestly, you can't go wrong with pretty much any of the technical tools available from major manufacturers nowadays. They're all pretty damn good.
Tools I would try to play with before making a purchase:
Reactor. In my opinion, the best value for your money out there, especially if you like the offset handles
Viper. Also good value for money, nice if you want to try both leashed and leashless.
Cobra. In my opinion, the best swinging ice tool out there. Perfect if you are intending to climb pretty much exclusively on ice. Leashed or leashless. Also the most expensive tools out there.
Quark, new style. Really solid all-arounder anywhere from hard ice to alpine.
Nomic. In my opinion, the best ice and mixed tool out there. The new version is even more so. Unfortunately, they aren't really available right now.
I don't really know as much about Grivel's tools, but I always hear lots of good things about them.