Same chord, new floor: put the 3rd in the bass and the bass walks 1–3–4 straight into the 4 chord. The change stops being a jump and becomes a sentence. The chip shows 3- — the poor man's 1/3, same bass and two shared tones; grab the real slash grip (C/E, G/B, D/F#) when your hands know it.
movesbass walks 1 → 3 → 4; the harmony above barely movessolo·singmelody can sit still — the bass line IS the hook hereon recordBlackbird — The Beatles (the G → G/B walk)try itAnywhere you jump 1 → 4, insert 1/3 (or its 3- stand-in) between them.