When you "bring up" a topic, you start talking about it.

The phrase "bring up ___" is like many phrasal verbs. The word "up" immediately follows "bring" most of the time, like in this example:

I brought up the topic of Jessica, but he didn't seem like he wanted to talk about it.

But when you're using short words like "it", "her", "that", "something", etc. you put those words between "bring" and "up":

You should definitely bring that up.