Pencil mic/ shotgun mic is what you want. Rode Videomic is the most accessible one you will find. They are highly directional (hypercardioid). The reason you sound tinny from your laptop is because a) they are not very directional (beamforming helps but it's not enough) and b) the lack of directionality is made up for by too much autogain thus picking up the room.

The "podcaster mics" will work too but they are designed to be pulled up to your face. If you don't want the mic in camera then you will not get great results with them.