will my passport be a problem?

Pavan, because you can enjoy free entry to HK and Macau for a stay of not exceeding 14 days and 30 days respectively, your passport can work.
As for mainland PRC, if you have got the entry permit, you can travel with your current passport. But if you haven’t got the entry permit, when you apply for it, your passport must have a remaining validity of at least 6 months. It’s a little bit risky.