Hudson is an excellent way to go.
TAP::Formatter::JUnit will nicely format your test output as JUnit XML, and Hudson can happily pick that up.
Devel::Cover's a little more complicated, but also workable.
Hudson makes things really easy to set up, since it allows you to do "freestyle" builds, which essentially just execute arbitrary commands in order. Don't know if TeamCity can do that, but if it can, you should be able to integrate into the same server, which would be better from the standpoint of being able to watch all the builds at once ... looks like it doesn't, which is unfortunate, but you can work around that with Hudson. (Edit: fixed link)
