Re: Might have some difficulty there . . .
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The best place to look, I'd say, would be along the Orion Arm, rather than toward the galactic core (the here Sun is at the crosshairs).
Between the arms is where we find a lot of occluding dust (which is why we cannot ‘see’ the galactic core in visible light waves btw), and there's that pesky theory involving a kind of galactic 'habitable zone', so the more populous region with the best viewing, as well as the most acceptable region to expect life of some kind, would likely be along the arm.
Then, there's a matter of G-class abundance.
(An Atlas of the Universe picture source.)
Dan