Don't buy any of the pod based coffee machines, they're comparatively cheap up front, but they'll cost you more in the long run and give you a much more limited selection of the kinds of coffee you can have.
I'd say if you want to push a button and get a coffee, look into bean-to-cup machines. If you don't mind doing a few bits a traditional style espresso machine is going to give you a load of flexibility, and can generally be a bit cheaper than a bean-to-cup (though they can also get much more expensive!).
If you don't mind it being fully manual, perhaps look into pour-over or aeropress kit. Definitely a much cheaper step than buying a machine, and lots to learn from using those methods