The \bm command from package bm has both advantages and drawbacks over the \boldsymbol command from package amsbsy (loaded by amsmath). The first advantage of \bm is that it keeps the italic correction, so that something like \bm{T}_1^2 will look better than \boldsymbol{T}_1^2 (if you want to compare the two in a document, you must be careful that bm redefines \boldsymbol):
The second advantage is that \bm does not disrupt the spacing, whereas \boldsymbol does, even though it works correctly for binary operations (like +) and for relations (like =). As an example, here's the comparison between \boldsymbol{[}-1;1] and \bm{[}-1;1]:
However, \bm sometimes requires the user to add braces to avoid problems. For example, \bm{\dots} will provoke an error with amsmath, the solution being to type \bm{{\dots}}. Double accents also need to be enclosed in braces to work properly:
\documentclass{article}
\usepackage{amsmath,bm}
\begin{document}
%$\bm{\dots}$% causes an error
$\bm{\mathinner{\dots}}$% works
$\bm{\hat{\dot{\phi}}}$% does not work correctly
$\bm{{\hat{\dot{\phi}}}}$% works correctly
\end{document}
Finally, math alphabet nesting works better with \boldsymbol than with \bm. For example, here's the result of \mathrm{g\boldsymbol{g}} and \mathrm{g\bm{g}}:
