1. Rode the metro. It's easy to use, and the signage on the routes and the ticket machines is in English. I also benefitted from another metro trick: I bought my return ticket at the same station as my outbound ticket. I thought of this little hack while waiting in line for 20 minutes in the sweltering heat at E. Nanjing Road Station to buy a return ticket.
2. Used my smartphone to navigate. Fortunately, my company pays for an unlimited data plan, so use of the internet while abroad costs me no extra. Even if this isn't the case for you, if you can spring for an international data package from your provider, I would do it! Google Maps works fine in China, and the public transit instructions are superb.
3. Took a Big Bus tour and (included) river tour. The Big Bus gave a great feel for the city and provided some interesting and informative commentary. The river tour gave me a close-up view of the lights of the buildings of the Pudong area up close--much better than from the Bund. The trip takes a bit longer than expected--you'll invest at least 3 hours, including transportation to and from the wharf--but I thought it was well worth it.
4. Brought plenty of cash. In two restaurants--nice enough places where you'd expect a credit card to work--neither my AMEX or VISA were any good.
5. Brought my own napkins and wet wipes. Many restaurants do not supply them.
6. Visited the Oriental Pearl TV tower early. I got there on a Sunday at about 9:45 AM (it opened at 8:30), and was at the viewing area within 30 minutes with minimal crowds and lines. I talked to someone else who went there in the middle of the day on a Friday, and they waited in line for 2 hours.
7. Just said "No" to anyone who approached me. I must have been approached at least 50 times while in the tourist areas, particularly Nanjing Road and Yuyuan Gardens. It gets a bit wearying after a while, but it's better than being scammed. Be especially wary of the "schoolteachers" and "students" who ask you to take their picture and then want you to go with them to a "tea performance". There are other posts in this forum on that topic, so I won't go into it further here.