One of the key things is to know as much as possible about who you are looking for. So make a list of all the children (not just those still with them in 1911) and do a forensic job on them - full given names at birth, where were they born, where were they baptised, what was the family’s exact address at the time of baptism. If any of them have died, where and when? Where does this chronology place the family at dates close to the missing censuses?
By understanding the family’s chronology in detail, you much improve your chances of finding them.
Are they a Harding family in South London, by any chance (George Harding and Rose Elizabeth nee Rowland, marr Jun qtr 1882 St Giles, later settled in Camberwell)? It really is so much easier to help if we have real people and real places to work with, rather than trying to come up with every possible theoretical search method for you. The advice can often differ depending on what complementary resources are available for the relevant location, such as London baptisms, electoral rolls etc.