Redirect high traffic site to new .com url

We’re revamping our very high traffic site (average 80k page views a day) with functionality that we want to offer internationally. We’ve purchased a .co and .net url and just weighing up if it’s worth using one of them or not. We already get international traffic to the site.

Wondering what the potential risks if we redirect, and advantages/disadvantages if we stay and try to run off internationally.

Any advice in general much appreciated.