As I understand it, "the universe" in this context refers to the observer able universe--a sphere surrounding our solar system* extending outward to 14 billion light years, thereabouts. There is no known limit to the expansion of the universe because we do not have enough information on how dark matter/dark energy works and what its ultimate effect is. We don't even have an direct observational evidence of its existence.
Galaxies, solar systems, and you are not expanding because gravity (along with other weak forces of attraction in the case of our bodies) keeps things together. Every star in a galaxy is gravitationally bound to the supermassive black hole at its center. Every planet, rock, and ice particle in a solar system is gravitationally bound to the star(s) at the center of the solar system. Of course, gravity is considered a weak force because it if wasn't you wouldn't be able to pick up a rock.
This is all grossly simplified, of course, because I am not a cosmologist, astronomer, or physicist. But, I do read a lot of articles about this subject matter because I write sci-fi in which I try to get things right.
...or as right as I can without being a scientist.
* Not to be taken as an implication that the Earth is the center of the universe; it's just...we can only see 14 billion light years or so out, so anything beyond that is UNKNOWABLE because the information has not yet had time to travel to us.