How can I keep my songs that I have downloaded from the Zune software if I don't have that computer anymore?

I have a Zune and I downloaded/bought over 2000 songs from the Zune software a while ago. I realized now that I can't play them because the time was up or whatever. I still have the computer I registered it on or w/e you have to do but I am getting rid of it. So since I still have it I turned it on and logged in. I then redownloaded those songs I had to, but what is going to happen if I don't have that computer anymore? I have the Zune software on my new computer, but is there anyway that I can keep the songs I have now, or am I going to lose all of them and have to download them again?