Even though Quebec is very much a tourist-orientated city, it is still a working city. As such it has its residential neighbourhoods, which, despite being in the city centre, are just that little bit off the tourist-path. Of course the city's "powers-that-be" will always try and keep it's tourist-face as clean and presentable as possible but as with any city does tend to neglect its own residents.
What you'll find in the winter is that the residential streets are the last priority for snow clearance and whilst the roadways will be salted and gritted the sidewalks rarely are. This means that trying to take that shortcut from the lower town to the upper (which looked easy enough on your map) will be a bit like ascending Everest, but without the Sherpas.
So make sure you have good-quality, deep-treaded, footwear. Make sure that such footwear (whether shoes or boots) are well weatherproofed and be prepared to share the roadway with the local traffic. Don't worry about doing so though as the Quebec City drivers are invariably cautious and courteous.
Quebec driving is notorious, so watch out is the first thing. Each cross walk has a digital timer from the moment is says walk. This tells you how much time you have left to live. If it says 8 seconds, then move it!
Those of you who've been to provinces like Alberta & Nova Scotia will probably form a high opinion of Canadian drivers. From a pedestrian's point of view they don't just stop at pedestrian crossings, they'll stop whenever they see someone who looks as if they might want to cross the road.
Don't wander into the road in Quebec & assume everyone will stop: they most certainly will not. Pedestrian crossings in Quebec are just your basic white bar lines across the road & often neglected (in need of a lick of paint) with no additional features (e.g. zig-zag approaches like in Britain). I'm not sure whether PQ law demands you stop if a pedestrian has a foot on the crossing, but the fact is Quebec drivers are very similar to certain European nations, e.g. the French & Italians in the way they drive & in my opinion are the worst drivers in North America.
It pains me to say it, but Quebec drivers are NOT pedestrian-friendly. They will NOT let you cross the street if they see you standing on the corner or slow down to let you walk across slowly. They will, however, respect pedestrian lights so my best advice would be to find one instead of trying to cross the street at a corner with no lights. Otherwise you'll have to be patient and wait until the last car has passed before you can cross the street. Better safe than sorry, as they say!
If you are in Quebec during the winter or Carnaval time you will see lots of steps and areas closed off.
As you can see in this picture some of the city areas can be very very slippery.
I don't want you to fall and crack your neck so be carefull. In the day time as well it can be a little slushy if it gets mild. You get comfortable walking and then around 6 pm when the sun goes down it gets very slick again so you have to adjust!!
Make sure you were the proper footweater as well if your going to be doing lots of walking, something water proof would be best. I couldn't be trying to make a statement. "F*^% La Mode", LOL. Let me know if you see this again later on my Quebec page :-)