@jaisunny: I took @songdogtech advice and realized I couldn’t do it by myself. I didn’t actually solve the problem. I just took it as an excuse to finally do something I was thinking about: downgrade.
I was using WordPress on Godaddy. As my Web Hosting plan was up to a renewal, I just opened a WordPress.com account and export the site there. Then I did the domain mapping, which is a lot cheaper than the web hosting plan.
It works for me, because I use my site really as an occasional blog, so the web hosting was much like renting a Ferrari just to go around the block. Anyway, it solved the problem for now.