I've been using the terms BCE and CE for nearly fifty years. Many historians specializing in Ancient Near Eastern History and NE Archaeology were already using that nomenclature, and has come into more and more use, although still not universally.

I suppose it depends on your religious outlook whether or not these terms offend. Bible Believing Christians (whatever that means) seem to be the most offended when scholarly acronyms is substituted for BC and AD; in fact, it caused quite a dust-up in the popular magazine, Biblical Archaeology Reader, some years ago.

I like the modern terminology. It can actually satisfy both Christians and non-Christians alike. Christians (and traditionalists) can use the acronyms to mean Before Christian Era and Christian Era, while scholars and others can use them to denote Before Common Era and Common Era.