Thanks for mentioning me here

My wife and I adopted a dog from a dog shelter here in Korea (the Samsong shelter, I'm pretty sure it was). We got a Pekingese dog, about three years old, blind in his left eye, and with a broken left hip. He was in a car accident before we got him is what the veterinarian guessed. All we know is that he's ugly as sin but we love him anyways.
To answer your questions:
1) It's easy to travel on subways and buses with dogs. We always have our dog on a leash. He sits on our laps on the subway and everyone stares at him, and many try to pet him. The only issue we once had with public transportation was in getting on a bus. The bus driver tried to shoo us away. We were lucky that we brought our dog bag with us. We put Spudgy (our dog) in the bag and the bus driver was alright with it.
2) Trains and hotels we can't really say anything about. We haven't taken a train or gone to a hotel yet. We're starting to plan our vacation for winter, though, and we plan on taking our dog with us. If you want, we can email you with our updates on whether the hotels accept our dogs or not.
3) Dogs are common here. Dog-sitting and kennel costs we can't vouch for, either, since we take our dog with us everywhere.
Anyhow, get in contact with us at
http://www.eatyourkimchi.com/contact. We'll let you know the hotel situation once we start calling hotels around Korea and asking them if they'll let us bring our dog. If you want to see what the shelter looked like, or just know more about dog life in Korea, check out our posts on
http://www.eatyourkimchi.com/index.php?categories=Spudgy. We've got a bunch of videos that'll surely convince you that a dog's well worth it.