Hagrid could be seen from the upstairs windows defrosting broomsticks on the Quidditch pitch, bundled up in a long moleskin overcoat, rabbit fur gloves, and enormous beaverskin boots. The Quidditch season had begun.
The ladies were somewhat more fortunate, for they had the advantage of ascertaining, from an upper window, that he wore a blue coat and rode a black horse.
Then, I have a simple solution. Go to the roof. Hop over to the next building. There's a small gap, don't look down if you're subject to vertigo, and use their stairwell.
Pillows. . . yes. If you look in the cupboard, the large white one upstairs - to the left of the bathroom door - there should be four or five on the top shelf.