what is the best transportation from zhuhai (i stay at Guangdong Hotel, No. 1145 Gongbei District) to Guangzhou (Lido hotel, beijing road)

Bus is recommended. I suggest you walk from Guangdong Hotel for around 900 meters to Gongbei Bus Station near Gongbei Border, where there are direct buses to Guangzhou Provincial Bus Station. Then transfer to local bus or metro or a taxi to Lido Hotel directly.

The bus trip takes around 2.5h and the bus fare is CNY70 per person.

thanks for your reply.
by the way, do i need to buy bus ticket online in advance? or i just buy in bus station? i arrive from zhuhai to macau at 24 july 2014. because i already buy hotel voucher in guangzhou i afraid i didn't get bus ticket to guangzhou.

As I know, the ticket purchasing website is a Chinese website, so if you know Chinese, you may try to book the ticket online; otherwise, you need to go to the bus station to get the ticket at least one day in advance.