How long was Hitler homeless for?

He was never a HomeLess.

That is a Fictional Ledgend.

He had Pentions given by the Austria-Hungarian Empire which was almost double of a Newly Recuited Soldier , after his Father's death , until the age of 18.

This is because his Father was a High-Official Tax Collector.

When his Pentions were going to expire , He Sold Pictures of Buildings , and shortly after , joined the German Army.

The Fact is , Hitler was always wealthy relativly compared to the standards of those days.