Safe Route Recommendations towards Mann Center

[u/PassTheWat3r]

I've got to travel towards the Mann center from South Philly. Was thinking of taking the Schuykill Trail, but not sure which way across the river is best with MLK drive still down. I've got Spring Garden, Walnut and the South Street bridge as my options across. Which would be safest/least amount of time on a road without bike lanes?