Pusletasken hænger ved døren, så vi hurtigt kan tage den med, når vi går ud.

Because Danish usually marks definiteness on the noun itself.

• en pusletaske = a diaper bag / changing bag
• pusletasken = the diaper bag

So -en is the definite ending for this en-word noun.

Also, pusletaske is a compound noun:

• pusle = to change or fuss over a baby
• taske = bag

So pusletasken is literally the changing bag or the diaper bag.

Hænger is used because the bag is in a hanging position.

Danish often chooses different verbs depending on how something is positioned:

• står = stands
• ligger = lies
• hænger = hangs

So if the bag is on a hook or handle by the door, hænger is the natural verb.

Ved døren means by the door or near the door.

Here:

• ved = by, near, at
• døren = the door

So it describes location, not movement.

Because the sentence is talking about a specific door, probably the one in the home that everyone already knows about.

In Danish, you do not say a separate word for the before the noun in this kind of case. Instead, you add the definite ending:

• en dør = a door
• døren = the door

So ved døren literally means by the door.

Here så means so or so that.

It connects the two ideas:

• the diaper bag is by the door
• as a result / for that reason, we can quickly take it with us

So så introduces the purpose or practical result of where the bag is kept.

Because kan adds the idea of being able to do something easily or conveniently.

• kan = can, be able to
• tage = take

So vi hurtigt kan tage den med means that the location makes it easy for us to take it along.

Also, after a modal verb like kan, the next verb stays in the infinitive and does not use at:

• kan tage
• vil gå
• skal spise

Because the clause after så is a subordinate clause, and Danish word order is different there from normal main-clause word order.

In a main clause, the finite verb usually comes very early. But in a subordinate clause, an adverb like hurtigt can come before the finite verb:

• så vi hurtigt kan tage den med

This placement is natural and gives hurtigt a bit of emphasis. It highlights that the bag is placed there for quick access.

Because taske is an en-word, also called common gender.

In Danish, pronouns must match the gender of the noun:

• en taske → den
• et barn → det

So den refers back to pusletasken.

English just uses it, but Danish must choose between den and det.

Tage ... med means take ... along or take ... with you.

Here med is part of the verb expression, not just an extra word. So:

• tage den med = take it along

With a pronoun like den, Danish normally puts the pronoun before the particle:

• tage den med

That is the natural order. English does something similar in phrases like take it with you or bring it along.

Because Danish often uses the present tense for future situations, especially after time words like når.

So:

• når vi går ud = when we go out / when we are going out

This is very similar to English. English also normally says:

• when we go out

not

• when we will go out

So the Danish tense here is completely normal.

Because når is used for something expected, regular, or time-based: when.

• når = when / whenever
• hvis = if

In this sentence, going out is treated as a normal situation that will happen, not just a possibility. So når is the right choice.

You can think of it like this:

• når vi går ud = when we go out
• hvis vi går ud = if we go out

The second one sounds more uncertain.

Because gå ud is the natural expression for go out or leave the house.

• gå on its own can just mean walk or go
• gå ud adds the idea of moving outward, going outside, or heading out

So når vi går ud is more precise than just når vi går. It tells you that the speakers are leaving home or going outside.