Cider will probably go to .990 or so, so yes putting it into bottles at 1.010 will create bottle bombs.
When the cider is finished, the SG readings will be stable over the course of a week and no longer drop. The cider will clear quite a bit, and you can bottle then. To carbonate, you add 5 ounces (by weight) of priming sugar dissolved in 2 cups of water and put that into a bottling bucket and then rack the cider into it. It'll take about 2-3 weeks to carb up.
Broken Leg Brewery
Giving beer a leg to stand on since 2006