MIDI controller keyboards are very cheap and cover all of that.

Like, I understand that there's a bit more involved with setting up and using software than just having a standalone unit. But if cost is your limiting factor, you don't really have much of an alternative. Software is vastly cheaper than any hardware options, and gives you essentially an entire studio worth of gear rather than a single specific piece of kit that only does its thing.

For example, will you want to use percussion? That's a whole separate, expensive, piece of hardware. Or, you get a solid option for free with any DAW and can purchase plugins with a huge range of sound and functionality for a fraction of the cost of the hardware.