Hey Suthamati,

Studying Biochemistry you basically learn more biological things i.e molecular biology, genetic engineering, cell biology and so on. Biochem does very little study into actual chemistry. They care more about structure and activity of different biological macromolecules, be it proteins, RNA, DNA, etc.

In terms of labs, Chemistry has chemical labs, so synthesis, characterization of substances, purification, stuff like that. Biochem, again, has more biological labs. Research is usually far more specific (with exceptions of course) of fabricating specific molecular targets for specific functions or applications.

Both the courses are entirely different from each other and have a separate work place. I've given you the knowledge about what happens in both the fields since, I'm currently doing Biotechnology and I had both the subjects in my first year and will have the sub subjects in future. It's your decision to choose the right field based upon your interest. Both the fields have a good future. 

I hope this helps. Good luck!