My family booked first-class 'apartment' seats for an 8-hour Etihad Airways flight. I can see why the private airplane rooms cost $6,000 a pop.

We have lots of American Airlines points through the company's AAdvantage program, and Etihad is one of its partner airlines.

Although finding award availability on partner airlines can be challenging, the values can be tremendous. In our case, we took advantage of our family's flexible schedule to find last-minute unsold inventory, which is often released just days before the flight.

If your travel plans allow you to book (or, in our case, modify) your flights last minute, you can often find multiple seats on these "unicorn" flights.

The first-class apartment seats we booked on Etihad typically cost over $6,000 a person. But we redeemed 62,500 AAdvantage miles (plus $33 a person) for our flights.

Instead of the typical airport check-in lines, Etihad's first-class area had sit-down desks with concierge-level services.

Traveling with children can be stressful, but being in a quiet terminal with a personalized experience made it incredibly easy and enjoyable.

We were booked on the final flight using the "old" lounge at Zayed International Airport as Etihad was moving to a new terminal later that morning.

The employees were happy and accommodating, even if the energy seemed bittersweet as they prepared to shut off the lights behind us.

There were fewer than 10 guests in the airport lounge, and we found the service impeccable. After enjoying a fantastic made-to-order breakfast, we had coffee and a mimosa (for the adults) while relaxing before boarding.

The single-passenger apartments on the A380 have closing doors, a three-seater couch that converts to a bed, and a comfortable recliner chair.

Since we only booked a few days in advance, we had less control over seating choices. It was a bit of a struggle at first because we didn't want to end up too far away from our kids.

Luckily, once we boarded, the flight attendants helped move the children to adjoining rooms near us. There were only two other people riding first class, so it wasn't very difficult.

Before departing, we each got a set of comfortable pajamas and slippers.

The adults also enjoyed another complimentary glass of Champagne, and everyone made their lunch selections from the extensive menu.

The flight attendant asked if my husband and I wanted a "date" for our in-flight meal, which involved setting a table for two in my husband's apartment.

We started with caviar and more bubbly, then my husband had the Arabic mezze and I had the burrata. Both appetizers were exceptional.

For our mains, we both had the well-prepared beef tenderloin. A cheese selection, chocolate, and more wine followed, and everything was amazing.

Lunch was the main event on this flight, but another simple meal was served about an hour before landing in London.

Once lunch was over, the attendants came around and converted all of our couches, so they were completely reclined.

Our kids were very excited to eat their ice cream in bed.

The flight was eight hours long, and the comfortable beds allowed us to get a couple of hours of sleep.

Passengers in the apartments can reserve free shower times at the beginning, middle, or end of the flight.

My husband and daughter both chose to end their flight with a shower. During their 30-minute time slots, they each got five minutes of hot water — which could be paused at any time.

The Etihad apartments are one of the most luxurious commercial flight options in the world.

Although it took planning, flexibility, and a little luck, I think this was an incredible use of our travel points.

The value of paying about $30 for a $6,000 experience alone had me sold, but every aspect of our trip was outstanding — from the check-in process to the in-flight meals.

I highly recommend it if you ever have the chance (and the points).