[Dovecot] how to migrate from one server to another?

Hi

I have purchased and installed a new PC and would like to transfer my mail (in Maildir format) to it.

Are there any precautions I must take before copying the mail over?

I will disable mail delivery temporarily so no new mail gets written to disk but I don't know if dovecot has to be stopped before copying/editing mail for backup or migrating purposes.

Anything else I must pay attention to?

TIA

Bram