Sure, you can run MySQL & postgresql at the same time.
Just go to postgresql.com , chose one of the mirrors to download from, and get the source distributions.
For example you can go to:
ftp://ftp9.us.postgresql.org/pub/mirrors/postgresql
grab the files you need.
[postgresql-base-7.1.tar.gz] is the only file you NEED.
but
[postgresql-opt-7.1.tar.gz] is good for use with lanuages, i.e PHP, Perl, etc..
Then read around and see the different ways you can install it, (it'll come with instructions, or just download those too.
You can just upload the "TarBall file" and then from the Linux Comand line uncompress it(I'm not exactly sure how to uncompress and Tarball file) Try: gzip postgresql-base-7.1.tar.gz
Hoped that helped.