The four most important aspects to good skin repair.
1. The benefit of many ointments is their ability to keep the epidermis moist, especially the deepest strata that produce skin cells (outer layers are just old cells pushed out)....moisture facilitates passive diffusion of nutrient and oxygen from the capillaries and ensures new healthy skin cells are formed at an optimal rate and bond together with less scarring i.e. a better mix of elastin and collagen. reduced elastin in the scar makes it inelastic, funnily enough.
2. A very healthy diet, good sleep, and low stress. You need optimal nutrient load and oxygen delivered to the tissue, and optimal growth hormone and other healing mediators. anti-oxidant laiden fruit and vege are the key.
3. a water based moisturizer.....the most cost effective is aloe vera gel freshly scrapped from inside of the stems. rub it in and impregnate some into cotton gauze and bind on as much as every second night for a couple of weeks. you could rotate the bandages between different scars.
4. massage. as scar is forming, continue to stretch and massage the area. this will enhance blood flow and stretch out short tight collagen scar material, and lead to more elastic and better vascularized tissue.
Finally, it is also important to stay well hydrated and have regular cardio exercise to help push blood to through the peripheral vasculature.
This points come from my education and experience with burns patients.