I'm using the tabular environment in order to properly display my address in the text. But as the following example shows, the first column of the table doesn't align with the main body text. Also note that the spacing between the main body text and the table is not double (if I add \\ at the end of the line before the table, the spacing will be more than double). What should I do to align the text of the first column with the main body text, and how do I make sure that the spacing between the rows is the same as between the table and the text above it?
\documentclass{article}
\usepackage{setspace}
\doublespacing
\begin{document}
\noindent{Here is some text illustrating how the text looks outside a table.}
{\noindent\begin{tabular}{l l}
Address: & My department\\
{} & My university\\
{} & My street\\
{} & My city
\end{tabular}}
\end{document}

I have a suspicion that there might be a much better way to accomplish what I intend here than to use the tabular environment. I'm therefore also open to suggestions that don't address the question of how to remove the indentation and how to fix the spacing issue.

