At this point you want to really eliminate your wine from coming into contact with oxygen as much as possible.
Wash and sanitize all your bottles. Clean your corker. Remove your airlock and wipe around the rim with some sulfite and water on a paper towel.
I use a siphon tube with a clamp, place the tube on top of the punt, (if your bottles have them) and fill to the top stopping the filling at that point. Remove tube and move onto next bottle. The space left behind when you remove the tube will be a perfect placement for the cork.
You may want to test the acidity level and adjust if necessary. Test for sulfites and adjust if necessary as well. Remember to sanitize your corks if you are using them.
Transferring to a bucket then into your bottles will allow extra oxygen on your wine. Especially if you splash into the bottle.