Taming the mind and Homelessness
In Zen we are not taught to abandon things. Instead we are taught to let go of our attachment to things. The key here is that it is not the things themselves that make us suffer, but it is our attachment to these things that make us suffer. Eliminating the things themselves is different than learning to liberate yourself from your own attachment to these things.

Three men sit in a lions den waiting to be eaten by a hungry lion. The first man hides in the corner trembling in fear of the lion. The second man stands strong ready to face the lion and kill it. The third man is liberated from attachments and is not in fear of the lion, nor does he want to kill the lion. In the present moment the third man is filled with joy and happiness for he is alive.

Abandoning things, is like the man trying to get rid of the lion. At first it may seem like the best choice, but there is a middle way between the first two men.