How do I copy a time machine backup onto my old computer after I've replaced the hard drive?

Hi everyone,

I own a MacBook that I purchased in 2009, and it's served me very well since then; the only exception is that the hard drive suffered after I dropped the computer, and I had to replace it last month.

The old hard drive is now useless, and the new one is nearly blank, and I'd like to upload my old Time Machine contents onto my computer without losing some new files I've gained. What's the best way to do it?

Thanks!