from sg to shanghai and maybe to suzhou and hangzhou

appreciate if anyone can help me? i am in a rush for time. i need to fly to SH on 10 mac and return to sg on mar 16. can anyone advise me what is a better option? upon reaching there go straight to suzhou stay 2 days and back to the city for 5 days then fly bad to sg, or should i stay in SH 1st for 5 days then go suzhou? i heard that SH, suzhou and hangzhou r pretty near to each other, possible to squeeze 3 places in 7 days? what r the time and mode needed to travel from SH to suzhou and hangzhou and vice versa? is it better to book hotel 1st then fly over or should i just book suzhou hotel and when i am in shanghai then i book hotel? pls help. i am in a dilemma.