Specifying bullet type when using itemize

The enumitem package might be useful, combined with some package listed in the Comprehensive Symbol List:

\documentclass{article}
\usepackage{enumitem}
\usepackage{pifont}
\begin{document}
\begin{itemize}[label=\ding{212}]
\item First
\item Second
\end{itemize}
\end{document}

\renewcommand{\labelitemi}{$\circ$}
\renewcommand{\labelitemii}{$\circ$}
\renewcommand{\labelitemiii}{$\circ$}
\renewcommand{\labelitemiv}{$\circ$}
...

where i, ii, iii, etc. refer to the current bullet level.

Try the list environment:

\begin{list}{$\circ$}{}  
\item A  
\item B  
\end{list}