Hmmmmmmmm, I just don't know if I'd use vaseline....
It IS good to prevent chafing, but there are others products out there, specifically designed for cycling, that might not only perform better, but wash out of your shorts much more easily. I've used Chamois Butt'r, Assos Chamois creme, Butt Butt'r., and an old drugstore standby, Bag Balm. Stop in at an LBS and see what products they carry. None, except for the Bag Balm, are inexpensive, but depending on your needs, can be worth the cost.
As for clean-up of you - most of whatever balm you use will soak into both your shorts and you.......... there won't be much left to clean off. I think you'll be ok with the baby soap. I don't use soap at all, just a body wash. MUCH less drying. And I've never had any complaints.......
annie
Time is a companion that goes with us on a journey. It reminds us to cherish each moment, because it will never come again. What we leave behind is not as important as how we have lived." Captain Jean Luc Picard