Is there a shuttle bus that would take us to Nanjing Hotel, 200 Shanxi Sth Rd from Shanghai Pudong Int Airpt

There is no such kind of bus to reach your hotel directly from the airport.

Actually, taking subway directly is much easier. You can take the local subway line 2 to East Nanjing Road Station. Get out of the station from Exit 1 and road next to this Exit is the Shanxi South Road, so you can walk along that road to your hotel easily.