You don't have a carboy, to minimize the headspace? You really don't want any oxygen exposure at this point.
You leave it sit for quite a while. Until it's completely done fermenting, and then a little bit more. If you can rack it to a carboy, and add one crushed campden tablet per gallon (dissolved) and top up the headspace, you can let it sit a couple of months. Then check the FG again, and look at the hydrometer sample for any gas. If it's not still fermenting, and the gas is gone, and it's completely clear, it'd be ok to bottle.
If it's just sitting in a bucket, though, with all that headspace, you're going to want to bottle as soon as it's ready. Keep it at 70 degrees or so, even a bit warmer is ok, and it'll finish up fermenting and the gas should come out. Once the FG is stable over a couple of weeks, it's probably ok to bottle.