Hi, Mr Janko:
I can try my best to help you to plan your stay in Shanghai; however i am afraid i won’t be able help you with your tour outside of Shanghai. For your tour outside of Shanghai, you can either ask advice from travel agents once you touch down in Shanghai or you can drop down to your local agents in Slovakia which would be a better idea since you would no need to worry about the rest of your tour once in Shanghai.

For most international arrivals, you would expect to land in Pudong International Airport. If you arrive during the day, depend on your destination/hotel, you can take a taxi to your destination/hotel directly. If your hotel is close to city centre then you are looking at cost of about RMB150 and travel time roughly between 50mins to 1hr depends on traffic. Or you can take one of the airport bus routes whichever one is suitable for you, the cost would be between RMB20~30 and it will take about 1~1.5hrs. The fastest way would be if your take the world’s fastest and the only commercial maglev service at the airport with top speed up to 432km/hr during the daytime operations, this journey should take approximately just over 8 mins (cost RMB40/person if you show them your air ticket of that day, RMB50/person otherwise) and then you can either transfer to subway line 2 at Longyang Rd. Station head right towards city centre and this will take about a further 30mins (up to RMB6/person depend how far you travel) or you can take a taxi from the Longyang Rd. Station to your hotel.

Totally up to you, how long is your stay in Shanghai. But i do suggest the following sights:
Sightseeing (better at night): Oriental pearl TV tower, Jingmao tower, Shanghai World Financial Centre (world’s 3rd tallest building), The Bund and the Lupu Bridge (the world largest span bridge)
Shopping and leisure: Nanjing Rd, the People’s Square, Huaihai Rd, Xujiahui and XinTianDi (for bars). If you are more interested in traditional Chinese the Yu Garden and Qibao Ancient Town are definitely the places to go. Go for it “SHOP TIL DROP”!!
After all, Shanghai is a city with a population more than 20 million, so please do be careful for your personal belongings while travelling.