Die Einbauküche bleibt in der Wohnung, was für uns wichtig ist, weil wir keine eigene Küche haben.

Because Einbauküche is a feminine noun in German, so its basic article is die.

You have to learn the gender with the noun:

• die Einbauküche
• die Wohnung
• die Küche

This is why you also later get keine eigene Küche: Küche is feminine too.

Bleibt comes from bleiben, meaning to stay or to remain.

So Die Einbauküche bleibt in der Wohnung means the fitted kitchen will stay there; it will not be removed. In rental language, this is very natural, because it tells you the kitchen is included and left in place.

Because this sentence describes a location, not movement.

German uses:

• in + dative for location: in der Wohnung = in the apartment
• in + accusative for movement into something: in die Wohnung = into the apartment

Here the kitchen is already there and remains there, so German uses the dative:

• in der Wohnung

Here was refers to the whole previous idea, not just to one noun.

So:

• Die Einbauküche bleibt in der Wohnung, was für uns wichtig ist

means:

• The fitted kitchen stays in the apartment, which is important for us

The important thing is not just the kitchen, but the entire fact that it stays in the apartment.

When German refers back to a whole clause or situation, it often uses was.

So:

• ..., was für uns wichtig ist

means ..., which is important for us, where which refers to the whole previous statement.

If you used das, it would more naturally point to a specific noun or a more concrete that. In this sentence, was is the normal choice because it refers to the entire idea.

Because German normally uses commas to separate subordinate and relative clauses.

Here you have:

• main clause: Die Einbauküche bleibt in der Wohnung
• clause with was: was für uns wichtig ist
• clause with weil: weil wir keine eigene Küche haben

German punctuation is stricter than English here, so those commas are required.

Because was introduces a subordinate-type clause here, and in German subordinate clauses the conjugated verb usually goes to the end.

So instead of:

• was ist für uns wichtig

you get:

• was für uns wichtig ist

That final verb position is one of the most important word-order patterns in German.

The phrase is wichtig für + accusative, meaning important for someone.

So:

• für uns = for us

The preposition für always takes the accusative case, and uns is the accusative form here.

So:

• was für uns wichtig ist = which is important for us

Because weil is a subordinating conjunction meaning because, and after subordinating conjunctions, German sends the conjugated verb to the end of the clause.

So:

• main clause word order: wir haben keine eigene Küche
• after weil: weil wir keine eigene Küche haben

This is the standard rule with weil, dass, wenn, obwohl, and similar words.

Küche is the direct object of haben, so it is in the accusative.

Since Küche is feminine singular, the negative article is:

• keine

Then the adjective eigene takes the ending -e:

• keine eigene Küche

So the phrase means:

• no kitchen of our own
• or more naturally in context, we do not have our own kitchen

Yes, grammatically it could say keine Küche, but eigene adds an important nuance.

• keine Küche = no kitchen
• keine eigene Küche = no kitchen of our own

In context, this usually means they do not already own a kitchen setup that they could bring with them. So eigene makes the reason more specific and practical.

Not exactly, but they are closely related.

• Einbauküche is specifically a fitted or built-in kitchen installation.
• Küche is a more general word and can mean kitchen in a broader sense.

In this apartment context, keine eigene Küche haben usually means we do not own our own kitchen setup/fitted kitchen, not that they literally have no kitchen room anywhere. The shorter word Küche is just being used more generally.

Because all German nouns are capitalized.

So in this sentence:

• Einbauküche
• Wohnung
• Küche

are all capitalized because they are nouns. This is a standard rule in German and helps you identify nouns more easily when reading.