Airport express and a modem?

I moved into an apt that came with cable and internet. The internet is not wfi. I have to use an ethernet cord which is connected to a modem to get internet on my mac. Since I have an ipad, ipod touch, and iphone, I would like to have Wi-Fi. Will the airport express be a good way to get Wi-Fi to all those devices? Do i just connect the ethernet cord to the airport express and have Wi-Fi throughout the apt?

"do i just connect the ethernet cord to the airport express and have Wi-Fi throughout the apt?"
Yes. Of course, you will want to change the default password, or even make it stealth so no one but you can use it. Neighbors are very determined to get Internet service without paying.