Learning an instrument...Which should I choose?

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I want to learn to play an instrument but I'm not so sure on which one. It's a mix up between piano and guitar.

We currently own a keyboard, albeit a shitty one we picked up from a garage sale years ago for like $5. I've heard that cheap keyboards like that aren't as great to learn to play piano with because the keys don't function the same way they do on a more expensive keyboard or traditional piano.

As far as guitar goes, I know that I need to drop a decent amount of money ($300-$600) to get a decent one that will allow me to learn to play it easier. It's not necessary to spend that much, but my understanding is that it's recommended to spend some decent money on an instrument to ensure it has good build quality and isn't a cheap piece of shit.

I know there's a lot of resources online for learning guitar. A lot of people recommend Justin Guitar and several other sources. I don't know as many highly recommended keyboard learning sources, but I'm sure they're out there.

As far as learning instruments goes, I've heard people recommending learning piano first before guitar because it can help you understand music theory easier and it will make picking up other instruments easier. Is there any truth to this?

Would appreciate any input anybody can give on the subject.