  We study ideals $\mathcal{I}$ on $\mathbb{N}$ satisfying the following
Baire-type property: if $X$ is a complete metric space and $\{X_{A} \colon A
\in \mathcal{I} \}$ is a family of nowhere dense subsets of $X$ with $X_{A}
\subset X_{B}$ whenever $A \subset B$, then $\bigcup_{A \in \mathcal{I}}{X_{A}}
\neq X$. We give several characterizations and determine the ideals having this
property among certain classes like analytic ideals and P-ideals. We also
discuss similar covering properties when considering families of compact and
meager subsets of $X$.
