Downtown hosts a myriad of attractions: museums, theatres, parks, and pubs. Despite its size, Syracuse still has a small town feel with historic buildings of stone and brick as opposed to steel and glass high rises. While it does get a little hot in the summer months, the climate sits at bearable temperatures most of the year. Be sure to check your forecast for rain, especially in the winter months.
Closer to the heart of downtown, you have Perseverance Park. This spot is small and is a good place to stop and rest if you get tired, as it offers shade and seating.
The largest option for you downtown is the Firefighter's Memorial Park. Located at S. State St. and E. Fayette St., this park offers partial enclosure, pleasant shade, and a quiet spot to chill out with your pup.