As already advised the charcoal is chemical media, so no real benefits for seeding. In any case one week isn't really going to get enough BB on it to instantly cycle your new 180g anyway.
If I was you I'd set up the new 180g and get it running first. At this point it would be virtually sterile. Either use dechlorinator to rid the tank of chlorine, or just let it run for 24hrs and allow the chlorine to gas off naturally.
Then, when you next clean the filters on your existing tank, get the dirty sponges or filter floss and rinse the hell out of them in your new tank. The water in your new tank will look like sh*t but your filter will, in time, suck all that detritus in and trap it in your media, which is the whole point of the exercise. Don't fret at the disgusting sight of your new tank looking like it's full of sewage water, because all that disgusting gunk you squeezed in will be full of BB, it's exactly what you need at this point.
At the same time you squeeze out all the crud into your new 180g you need to then think about how you are going to "feed" your BB, ie, with an ammonia source. Otherwise they will simply die off and you've achieved nothing. This is where
tlindsey
advice about dropping shrimp in comes into effect, or using pure ammonia from a bottle. You can also use hardy "sacrificial" fish as an ammonia source but this method is frowned upon somewhat as it causes stress to the fish. Whichever way, YOU MUST HAVE AN AMMONIA SOURCE to feed your new BB.
Then it's just a case of using your test kit to check your parameters. This can take, well, how long's a piece of string, lol. The timescale can vary but be patient.