For measuring distance in space, you use Parallax. You measure on opposite sides of the sun, so once in December, and then once in June. You’ll use the known 1 au (93,000,000 miles). and figure the tangent by using the arcseconds of change in the night sky.
As for measuring mass, the most common method is gravitational lensing. By careful measurements you can figure out how much light is bent when traveling near an object, and use that to figure out the mass.
I realize its not really explaining it like you’re 5, but the questions really aren’t answerable in a way that doesn’t use complex mathematics.
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