What neighborhood in Seattle are good for families?

Currently live in an Eastside burb and we're just feeling like we don't want the life of having to drive for everything, forever.

Things we're looking for: - walkable (to parks, restaurants) / good transit options - we essentially want to be able to spend less time driving - good schools - relatively safe, no significant homeless problems

I feel like those are real big ones for us. We have a pretty decent budget, maybe like $8k /month (so like ~$1.2M with today's interest rates).

Any advice?