Though we know it not to be true, when looking at the stars we tend to see them as sitting on a single plane, as though they were all equidistant from us. Instead, try pretending the brighter stars are closer to you, and the dimmer ones are further away. When sufficient concentration is applied, the stars will all at once shift out of your imagined plane as some jump forwards and others rush back. When viewing the night sky this way, our cosmic situation becomes a bit more tangible.
A similar approach can be taken to get a sense of the moon’s spherical nature, as opposed to seeing it as a circle and only really knowing in theory it’s not the case. I find this most achievable when the moon’s near three quarters full.