No install tutorial, but just giving it a spin, I downloaded the sqlite source code and compiled it on the mybook.
me> wget http://www.sqlite.org/sqlite-amalgamation-3.5.6.tar.gz
me> tar xvzf sqlite-amalgamation-3.5.6.tar.gz
me> cd sqlite-3.5.6
This is still in progress, but next I'd expect to su up to root and run
root> make install
And hopefully that would be it. This would provide the dynamic library that your CMS app would use.
update: make install as root worked and installed the libraries into usr/local/lib. ldconfig ensured they were on the runtime path.
No doubt someone can chip in that optware provides a SQLite installation out the box but this is how I'd do it ;o)