I work for 76 Carriage...
I absolutely think a carriage ride is the best way to view Old City & Society Hill. It is slow paced, so you can view the sights & take your photos...and you also hear a personalized tour along the way. (I must recommend picking a *good driver for a good tour--just LOOK at them before jumping in)
I have been giving tours for 4 years and I have taken endless amounts of tourists, locals, too many children to remember, history buffs & even Historic Society Leaders who WORK at those sights! --ALL have been delighted! In fact, people are only disappointed that it has to end! You'd be surprised what you can learn & enjoy in Philadelphia. So yes, definitely take a carriage ride! Pick '76 Carriage Company, because you'll be sure to have a great horse, great carriage & a great tour guide. (again, just LOOK)
I have added photos to the advertisement here, b/c that dark/blurry one isn't actually my company!