I used the orbitz app to arrange the airport to hotel transfer. I was quite satisfied with it. It was comforting to see my name on a plate upon arrival and then brought straight to the hotel. No stress involved.
I would leave at least 40 mins - 1 hour to get there, traffic can be really heavy! Depending on taxi driver I would estimate $20-$30 each way (That was in aud). This is based of when I went. The train line will take you a tiny bit longer plus you have to switch lines, but it is so much easier and cheaper ($5) each way.
There are plenty Vegetarian options during Breakfast. I would recommend to go for breakfast just before 7:00(just before it opens) if you are interested in having HOT noodles with vegetables. You can choose vegetables and tofu and get them boiled before water is contaminated with meat when others use the same boiling water to cook their noodles.
Juices are not that good but coffee and tea are good along with bread and salads