Safest route to bike from 520 to downtown area?

Hello everyone!

Apologies if this is too narrow and happy to move to AskSeattle. Now that the weather is getting better, I thought it’d be really nice to bike commute.

I’m trying to get from the 520 bike path to downtown near the Seattle public. The path google maps gives me looks like it has a lot of car traffic in the CapHill and First Hill areas. I feel like the roads are narrow and cars there are not the most careful during rush hour.

Curious if any biking old timers have found a safer path? I don’t care about difficulty or hills, just safety.

Thanks!!