The First Hotel Taipei can easily find from CKS International Airport:
By Taxi - Give the driver the above address (print out the one in Chinese). Expect the trip to cost about NT$1200.
By Bus - Take the FEGO Express. The bus runs from 5:50 a.m. to 1:10 a.m. every 20 minutes. The cost is NT$120 one-way. Get off the bus at Chi-Lin Elementary School Stop, at the intersection of Chang Chuen Road and Chi-Lin Road (refer to map above). Walk about one block (100 meters) towards Nanking E. Road, the First Hotel Taipei is at the corner of Chi-Lin Road and Nanking East Road.