There are a ton of Airbnbs and Vrbos in Portland because of a city ordinance that makes it easy to build and rent out accessory dwelling units, those backyard tiny homes (or any rental with a separate entrance). Staying in one can give you an opportunity to choose your neighborhood and get out of the main downtown area into residential zones.
I would check for these in urban neighborhoods like Sellwood and Ladd's Addition, which are conveniently close to downtown. I lived in Sellwood circa 2016, and it's walkable with plenty to do and visit, from food-cart pods to the library, Gino's Italian restaurant to the riverfront park, Oaks Amusement Park to Oaks Bottom Wildlife Refuge, antique row to the Oregon Museum of Science and Industry — you could spend your whole trip staying within a one-mile radius. It's very family-friendly.
Ladd's Addition is a unique X-shaped neighborhood with a lovely, centrally located rose garden and four smaller rose gardens. Ladd's Addition is the oldest planned neighborhood in Portland — it's named after William S. Ladd, a merchant and Portland mayor who owned the original farmland and subdivided it for residential purposes beginning in 1891.
Hollywood is another great neighborhood to search and where children's author Beverly Cleary lived. You can visit Grant Park's sculpture garden, which has statues of Cleary's characters Ramona Quimby and the dog Ribsy, and take a walk down NE Klickitat Street.
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