There were armed guards everywhere to ensure tourist safety. The old town can get quiet and dangerous after dark, so we limited our walking activities to the daytime. We also rode up the Teleferico, which is a cable car that takes you to the top of a 13,000 ft mountain next to Quito. You get a good view of the city from up there.
From Quito, we headed down to Cuenca, which is another colonial city on the Andes. It's the 3rd largest city in Ecuador, albeit a distant 3rd. We spent a quiet couple of days in Cuenca, walking around its historic churches and cathedrals and enjoying the nice food & weather.
One thing I noticed in Quito and in Cuenca was how little of the Inca & pre-Inca heritage is still remaining. Talking to people and going around town, you would be lead to believe that the Ecuadorian history began with the Spanish. In Peru (especially Cuzco) this was pretty different. People there took pride in their Inca-past. In Ecuador, it was as if the Incas never existed.
I'll end this with a shout out to Ecuador as a tourist destination. You don't require a visa to enter the country, and they use the US dollar for currency. It's pretty tourist-friendly, and hence safe. The weather is great throughout the year. Knowing Spanish is definitely a plus, but not knowing it leads to even more memorable interactions with the locals. We had a bunch of those :).