How do I get my game saves from my semi-broken PS3?

So okay. I was playing a game of fifa with my friends, one of them go a little to excited while scoring and accidently knocked over my ps3. Long story short its kinda broken. It turns on but can't connect with the TV via HDMI or avi. And after a minute or so it turns off again. But that's not a problem cuz I have a new one. My question is can I somehow take the game saves from the broken ps3 and put them on the new one?

Edit: Moved from General. - space_paranoids