De or het tuinberging?

The correct Dutch article is:

de tuinberging

Rule Words ending in -ing: almost always de. See the rule

How to use tuinberging

the tuinbergingde tuinberging
this tuinbergingdeze tuinberging
that tuinbergingdie tuinberging
our tuinbergingonze tuinberging
your tuinbergingjouw tuinberging
every tuinbergingelke tuinberging
which tuinberging?welke tuinberging?
a big tuinberging / the big tuinbergingeen grote tuinberging, de grote tuinberging