To spend a vacation in China. What visa do we need?

If you don't plan to stay for long in China. You can apply for L visas, which usually allw one to stay in China for 30 days. If you want to stay here for mre than 30 days, you can extend the L visas within China before they expires. An L visa usually can be extended twice within China, each time allowing another 30 days of stay.