The Creature Size of a medium or small creature is a 5'x5' square. Your size impacts:
During your move, you can pass through the space of an ally, a creature that has the Incapacitated condition (see the rules glossary), a Tiny creature, or a creature that is two sizes larger or smaller than you.
Another creature’s space is Difficult Terrain for you unless that creature is Tiny or your ally.
You can’t willingly end a move in a space occupied by another creature. If you somehow end a turn in a space with another creature, you have the Prone condition (see the rules glossary) unless you are Tiny or are of a larger size than the other creature.
So, just from size alone, you can bypass or be bypassed by a Large creature, or forced prone by any small or larger creature if you end in their space.
You do however block a Tiny creature, unlike a medium one.
A willing creature that is at least one size larger than a rider and that has an appropriate anatomy can serve as a mount, using the following rules.
You can ride on a medium creature, and don't require a large creature.
A Large or larger creature moves faster if it grapples you, as you impose no drawback on them.
You can't grapple such a creature, as they are more than one category larger, and neither can you shove them.
Furniture of small or larger is difficult terrain for you.
An opening that fits only a Tiny creature is difficult terrain for you, but impossible for a medium creature.
Cracks/squeek through?
The Free rules do not mention squeaking through an opening that is smaller than you, such an opening seems to be just difficult terrrain and that's it. There is no category smaller than Tiny.
Body Height Dependency
Cover & High Jumping depend on your body height.
Using the alternate rule, your equipment needs to be made for small creatures, or adapted for 1d4*10 percent of the item's price, unless they are magical