Khu nhận hành lý ở trong sân bay.

Khu means area, section, or zone.

So khu nhận hành lý is literally something like the luggage-receiving area, which corresponds to the baggage claim area in natural English.

You will often see khu in place names:

• khu vực chờ = waiting area
• khu ăn uống = dining area
• khu vệ sinh = restroom area

Literally:

• nhận = to receive
• hành lý = luggage / baggage

So nhận hành lý literally means receive luggage.

In airport context, this is understood as claiming / collecting your baggage. Vietnamese often uses verbs a bit differently from English, so even though English says claim baggage, Vietnamese can say receive luggage and still sound natural.

Vietnamese often puts the main noun first, followed by words that describe its function.

So:

• khu = area
• nhận hành lý = receiving baggage

Together:

• khu nhận hành lý = the area for receiving baggage

This is different from English, where we usually put the describing part first: baggage claim area.

A useful pattern is:

• khu + activity/function

For example:

• khu đỗ xe = parking area
• khu vui chơi = play area
• khu mua sắm = shopping area

Because Vietnamese does not always use a word equivalent to English is.

In location sentences, Vietnamese usually uses ở rather than là.

So:

• Khu nhận hành lý ở trong sân bay. = The baggage claim area is inside the airport.

Here, ở carries the idea of is located at/in.

A very important contrast:

• là is used for identity or definition
  
  • Đây là sân bay. = This is an airport.
• ở is used for location
  
  • Tôi ở sân bay. = I am at the airport.

So là would not be the normal choice in this sentence.

They each contribute something slightly different:

• ở = at / in / located at
• trong = inside
• ở trong = located inside

So:

• ở sân bay = at the airport
• trong sân bay = in the airport / inside the airport
• ở trong sân bay = inside the airport, with a clearer sense of location

In this sentence, ở trong sân bay emphasizes that the baggage claim area is inside the airport, not outside it.

In casual speech, people might shorten it to:

• Khu nhận hành lý trong sân bay.

And that is still understandable.

Hành lý is a general noun meaning luggage or baggage. Like English luggage, it does not have to mark singular or plural.

So it can refer to:

• one piece of luggage
• several bags
• baggage in general

If you want to be specific, Vietnamese adds other words:

• một kiện hành lý = one piece of luggage
• hai vali = two suitcases
• hành lý xách tay = carry-on luggage
• hành lý ký gửi = checked baggage

Vietnamese does not use articles like a, an, and the the way English does.

So sân bay can mean:

• an airport
• the airport
• airports

The exact meaning depends on context.

In this sentence, context makes it natural to understand sân bay as the airport.

If a speaker wants to be more specific, they can add more information:

• sân bay này = this airport
• sân bay đó = that airport
• sân bay Nội Bài = Nội Bài Airport

Yes. Khu lấy hành lý is also natural and very common.

Comparison:

• nhận hành lý = receive/claim baggage
• lấy hành lý = get/pick up baggage

For many learners, lấy hành lý may feel closer to everyday English ideas like pick up your bags.

Both are understandable, but the nuance is slightly different:

• nhận can sound a bit more formal or official
• lấy can sound a bit more everyday and direct

So all of these can work depending on context:

• khu nhận hành lý
• khu lấy hành lý
• nơi nhận hành lý = baggage claim place/area

Yes, it is natural and clear.

It sounds like a straightforward statement about location. Depending on context, a native speaker might also say:

• Khu nhận hành lý ở sân bay.
  = The baggage claim area is at the airport.

• Khu nhận hành lý nằm trong sân bay.
  = The baggage claim area is located inside the airport.

• Khu lấy hành lý ở trong sân bay.
  = The baggage pickup area is inside the airport.

Your original sentence is perfectly fine, especially if the goal is to emphasize that the area is inside the airport.