Hi: what is comfortable way to travel from Beijing to Quanzhou end of April

Well, plane & train are both ok for you.
If by train, the high-speed train at Beijing South Station will take around 13 hours on the way. The only schedule is at 08:45. The fare of first class seat is CNY1258.5 and second class seat is CNY808.5.
If by plane, it saves a lot of time. Direct flight will cost about 3 hours. The fare cannot be estimated exactly because it changes with seasons. These days, the fare is CNY 600 to 700.