Notation: $\{\boldsymbol{e}_1,\boldsymbol{e}_2,\dots,\boldsymbol{e}_{|S|}\}$, $\{\boldsymbol{e}_s| s\in S\}$ or $\{\boldsymbol{e}_{s}\}_{s\in S}$

Question

I want to write a set consisting of a single vector $\boldsymbol{e}_s$ for each $s$ in a countable set $S$. I will write similar sets many times in my report, so I want something that does not take too much space. My idea was to write it as $\{\boldsymbol{e}_{s}\}_{s\in S}$, but I understand that this notation is usually used to denote a family rather than a set. Then I could write it as $\{\boldsymbol{e}_s\mid s\in S\}$ or $\{\boldsymbol{e}_1,\boldsymbol{e}_2,\dots,\boldsymbol{e}_{|S|}\}$, both of which are more standard set notation but also not as concise. What would be the best solution?