How can I transfer files from my old computer to my new one?

Hullo! So, I've recently purchased a laptop to use away at studying and I'd like to transfer/copy my music files, pictures etc etc from my old pc to my new one. Is it possible to do it via wireless network or something? I..am not really informed with these things. PLEASE REFRAIN from telling me to get an external HDD or copy files with a CD or a pendrive. I'm on a tight schedule D: