I would consider Friends Hotel & Rooftop for a stay with time to explore the Historic Centre. At Junín Oe1-61, it offers a rooftop terrace, breakfast included and rooms with private bathrooms. Those details would help me imagine both the start of the day and a pause on returning.
I would like to spend some time on the terrace and would ask about access hours. The hotel also advertises free Wi-Fi and daily housekeeping, along with airport transfers and tours. If I wanted either of the latter services, I would check the options and prices while arranging my stay.
I would plan a few visits from here and leave others for the walk. My invitation would be to choose a room with the experience of Quito in mind: what to explore, when to pause and how much space to leave for the day to take its own shape.