I know many people use newspapers to protect their fruit, and there are probably many ways to apply it, but in case anybody is looking for a cheap and effective way to shield their figs and hasn't tried this, here's how I do it:
1) Tear some full-size newspaper sheets into quarters and fold each at about the one-third point.
2) Slip the folded side close to the fig, making sure to trap the associated leaf between the fig and paper.
3) Curl the paper around both fig and leaf to form an open-ended cone, keeping as close a fit around the fig stem as possible.
4) Fasten it with a clothespin.
The open end of the cone allows good air circulation and lets you monitor the ripening process, but the leaf seems to prevent birds from reaching the fruit (at least in my yard).