Like @edmonds59, I too am 10 miles out of the city, and might not be the best choice to put you up for a night. But since what you guys do is what I think about in my off hours, I can offer you some stuff to look for while you're here. If nothing else, just by poking around on StreetView can give you some idea of what makes Pittsburgh unique.
Start with Downtown, the "Golden Triangle". Note the bizarre street grids. Really two grids, one abutting the Allegheny River, the other the Mon (Monongahela), which meet at Liberty Avenue. Traversing downtown from one side to the other can be a tad confusing, especially with a couple of streets missing (Oliver Ave no longer intersects Liberty) [
StreetView of former intersection], many others one-way (Third and Fourth Avenues), and others with bus-only restrictions (southbound Smithfield), and still others with temporary closures while building construction proceeds (two very large buildings going up in our already very dense downtown). Note how little surface parking there is here.
Then we have the terrain. Pittsburgh is probably the only city in North America where two parallel streets cross at a right angle (Fifth Avenue and Sixth Avenue) [
link] because there's a hill in the way.
We have a bunch of very, very old housing stock. The oldest original building is the Fort Pitt Blockhouse in Point State Park, dating from 1800 or so, which you will go right past on the first minute of your trip. Check out the huge 13-star flag! Lower Lawrenceville has many pre-1860 residences, some dating to Stephen Foster's time here. Look around Charlotte St between 34th and 39th Streets [
link]. For some better kept examples, the Mexican War Streets section of the North Side was built in the 1840s. The streets were named after battles fought during that war.
But enough with the flat sections of town. We have serious hills here! In addition to the two funiculars, known to the locals as inclines (be sure to ride one), we have several hundred sets of staircases which are actual named city streets. Some have intersections. Many have residences. Imagine hauling a loaded bicycle up a 144-step staircase every day [
there are 144, I've counted them many times].
On a more architectural theme, be sure to research (if you haven't already)
Chatham Village, an excellent early example of a planned community. If you get a chance to tour the town by bike, it's about a two-minute ride from the top of the Duquesne Incline.
That's a start. You could spend a couple of weeks here looking around. Tell us what you're into, and prepare to get a ton of ideas of what to look for.