In that case they will just make sure she knows where to find them and go back to their ship.

After a while, a man comes strolling up to their ship. "Hello!" he calls. "You're the Whiteburns?"

"Yes. And our crew." Adam says taking a step forward. "How can I help you?"

"I'm here to inspect your ship, if you don't mind."

"Oh, go ahead. I can answer any of your questions if you have any."

He nods.

It turns out he does have a few questions about this thing or that, but nothing difficult to answer.

Answers are supplied as needed.

"Very good," says the inspector at the end. "All looks in order from my end. Someone will be by tomorrow or so to let you know if you have permission to dock in Amadahni."

"Thank you, for you time. We will keep someone on watch in case you need us for anything."

"Alright. Good luck with the permissions." And he's off.

They settle in for the night.

Some of the crew wants to go out and explore. Adam thinks this is a terrible idea. His dad convinces people that they should wait until they have a more permanent port.

Does the night go without incident?

Yup!

The next day, news comes that they have permission to dock in Amadahni. Instructions for this are passed on.

Instructions are (unsurprisingly) followed.

Amadahni is a sprawling port city nestled in an enormous crater. The side closest to the ocean has slumped into the sea, two breaches in the mountain range allowing water in. A tall sea wall protects the city proper from any inundation, and there's a thin beach mostly covered by the wooden dock. The majority of the ships there seem to be local fishing boats or ferries from the outlying island, hardly sea worthy, but there are a few larger, fancier ships, including some incredibly beautiful ley ships. The city itself is laid out as a giant grid, the broad streets gently sloping upwards to the crater's center, which hosts a gargantuan platform with four buildings laid out along the cardinal directions. The west and east ones are step pyramids, larger than the other two, which are at a closer glance actually compounds of closely clustered square buildings. The central plaza is fairly busy with people going to and fro. The city gleams in the early light, white stucco formed into intricate patterns along the building walls, some painted, some covered in flowers.

Their approach is getting a small amount of attention - a few people are lined up along the sea wall to watch them come in, and the people on the dock occasionally pause to glance over at their strange airship. 

They will follow the docking protocol. Adam is only mildly distracted by the other ships.

They're met by someone vaguely official-looking. "Welcome to Amadahni!" she says. "Now, there's a fee just to dock, then a further fee for each day you stay. For a ship your size..." She names a very reasonable-sounding price. "Do you need any directions to anywhere?"

"In a sense. We are recently arrived from another world and are searching for a way to settle in."

"You'll want the Immigration Office, then. They'll be able to help you settle in."

Adam thanks her and asks for directions to the Immigration Office.

Directions can be provided! It, like most of the government offices, is on the central plaza, southside. Plaza's hard to miss, the road from the docks goes right up to it.

"Have a good stay, now," she says when she finishes giving directions. Do they need her for anything else?

"Thank you."

And they don't need any extra help and a group is sent there.

They're asked to declare any plants, animals, or magical items before leaving the docks.

The buildings around the docks are mostly plain, getting more ornate and colorful the closer they get to the central plaza. There is an awful lot of climbing involved to get to the central plaza. (There's a lift of some sort, but it's reserved for the disabled).

The buildings on the plaza put the rest to shame in their sheer ornateness. The south side cluster of buildings has signs indicating what offices are in which building, luckily, and it's a fairly easy matter to find the Immigration Office, which is located in a squat building near the front, decorated with murals of daily life in the city and surrounding areas. 

What? Flying is not an option?

They will get there regardless.

Flying is indeed an option, and a good way to skip the crowds. 

The inside of the Immigration Office is colorful, painted with yet more murals, and the seats look comfortable. There's a man at a desk at one end of the room, and two people sitting in the chairs, talking quietly.