Drop one feeding every few days (what I did was wait until my body was no longer engorged from the dropped feeding before dropping the next one). At the very end, I was down to one feeding a day, and then finally, one every other day, and then it was like 3 or 4 days without a feeding, one final pumping, and I was done. If you are getting too engorged, you can also pump just enough to relieve the pressure (but don't drain the milk since that signals your body to make more). Also, when you are down to 1-2 feedings per day, you can also shorten how long your baby nurses.
Agree you should wait till the cold is over.
Finally, for me at least, weaning made me an emotional wreck (despite going gradually). There are a lot of hormones involved, so you might not experience that at all, but if you do, just know you're not alone.