You aren't cheating on her by also chatting with other Chinese Women on the same website, at least not until you've come to believe she is the one for you and you've made a serious commitment to her. Meanwhile, you're internet dating for crying out loud, you've never met her yet, touched her, even had dinner with her. This is the time to enjoy the chance to meet as many ladies as possible to ensure you find the one who is most compatible with you.
If work or extended travel takes your family to China, it is important to have a working knowledge of Chinese customs and how these customs differ from American customs. This is especially important if you have teenage kids, because Chinese dating and marriage customs can be very different from those in the U.S.