That is the wisest thing that they can do at the moment. Stay away from any terrorist locations and be patient.
Israel, like America, does not intentionally target civilians. However, if they are located too close to a terrorist strong hold, then all bets are off.
That had been their plan all along, and then were told if there were a clear stop in the activity to then try to move north further. They've lived there for several years and have neighbors that they know and trust and who are looking out for them. None of them (the neighbors included) knew there were some bad guys nearby, so they've had some consistent heavy activity in the 1-5 block range from their house. Needless to say they are trying to get further away. They've also had leaflets dropped overhead.
They are out of food and diapers, despite having had a stockpile sufficient for close to a week themselves, and nerves are wearing thin as the bombing is far closer than they anticipated, but neighbors are helping one another out, and swapping needed items to keep people able to all stay put until things calm down and they can get to stores and get more, and then for my loved ones, eventually, hopefully, to get to Beirut somehow, and then get out.