You could also go via Camberwell Grove, vicarage grove and then Benhill, Edmund st, addington square, bethwin, cooks Road, ravendson st, cardigan at, sancroft, black prince Road and then over Lambeth bridge. There’s lots of LTNs / cycle only bits en route so is reasonably pleasant whilst not being too indirect. You could also go via bellenden road if you wanted to avoid the hill and spend more time cycling through burgess pk