Slightly overwhelmed with the teaching options in China

I've begun my hunt to find a teaching role in China but so far I've been offered what seems like a million different things from recruiters, stuff like teaching history or science at a public middle school to more standard "English teaching".

What things should I be avoiding? In Korea the only options for me really are Public Schools or Hagwons, so I was not expecting such a variety

I'd like to stick to Middle School or High School aged students mostly. So no Kindergarten

Should I just be applying for Public schools, or are international schools etc open to me?

My experience/CV:

Degree in Business Management, one years professional experience in Supply Chain Management

Two years teaching ESL (Conversation classes really) for EPIK in South Korea

120 Hour Online TEFL