I am looking at going to Zhuji city from Hangzhou. Is it easier by train or bus.

i think bus is more convenient and easier.
the bus is available every 20 minutes from 06:40 to 19:00, and it takes about 1.2 hours and costs CNY 38 per person. The advantage is that you can buy the ticket at the bus station before departure. the bus leaves from Hangzhou South Long-distance Bus Station.