I'm dating someone mainly because they gave me stability
Is this a better type of stability compared to the other relationships that you've been through?
My other relationships have been short and unstable.
Stability in anything is quite comfortable. But you might want to step out of that comfort zone one day out of boredom, so never limit your options. You can be too set on one person and then not know how to relate to other kinds of people either.
I'm used to being with people like me. Newly single I feel alone.
That makes sense, and if you're feeling happy about this relationship then you should keep it going!