I believe weight is defined using the basic equation
\begin{equation}
F=ma
\end{equation}
where $m$ is mass and $a$ is acceleration. When you weigh yourself on a scale, you aren't measuring mass but force. It's how hard is the earth pulling you towards it. This isn't the same thing as mass. A simple way to think about it, anytime you want to know your weight, you need two things: $m$ and $a$. You plug them into that equation above, and boom out pops the weight.
Newton's gravity and mass versus weight
Newtonian gravity is a model of gravity. It's usually this one where people first learn the difference between weight and mass. It's a good model because it describes many gravitational phenomena. But it isn't the best. Einstein's theory is better, but for many people that's too complicated and Newton's ideas are enough. Newton's gravity follows the equation
\begin{equation}
F_{g} = \frac{Gm_1 m_2}{r^2}
\end{equation}
where $F_g$ represents the amount of force, $G$ is a constant, $m_1,m_2$ are masses, and $r$ is the distance between them.
Now let's suppose one of these masses is HUGE, like the earth. Let $m_1$ be this mass. Then for much smaller masses, it really won't make much difference how much they differ. So while a car and a coffee mug seem very different in terms of how much they weigh, they actually have the same acceleration because the earth is SOO much bigger than either of them.
For many simple physics examples, people treat $\frac{Gm_1}{r^2}$ as a constant called "little g", usually given a value around $g = 9.81$. People like this because it makes it easy to use the first equation. $g$ is just the acceleration $a$. This is a very crude model but yields surprisingly good results for doing experiments like dropping a ball from a roof top or stair way and seeing how hard and fast it hits the ground.
So if you find Newton's equation confusing, just use the following equation
\begin{equation}
F_g = mg
\end{equation}
Gravity isn't a quantity. It's a thing
The phrase "your gravity" isn't the right way to speak about gravity. Gravity isn't a quantity or a measurement. It's a fundamental force in nature, a way particles, objects, etc interact with each other. You can quantify how strong the gravitational force is. But you don't say "how much gravity". It just isn't the way the word is used, at least in my experience.