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Especially if you are in a household with children — who are prone to frequent cuts and abrasions while playing — it can be helpful to have some supplies in the house that are "easy-access" for when an injury does occur. These can be purchased over-the-counter at any drugstore or pharmacy, and are described in more detail in the steps below. Either iodine or hydrogen peroxide is effective as an antiseptic — meaning they work to reduce the likelihood of infection in a wound.  Do not rub the area too hard when applying the antiseptic, as this may further the injury or cause irritation to the wound. Gently applying it is all that is required.   Use a cotton ball to apply the antiseptic to the wound surface; this is because the cotton ball is clean, so it will not further contaminate the wound, as opposed to using your hand. Note that hydrogen peroxide is the most commonly used antiseptic, and it can be purchased at any drug store or pharmacy. Antibiotic creams or ointments, such as Neosporin or Triple Antibiotic, can be applied directly over the cut, and then covered by a Band-Aid. These greatly diminish the possibility of bacterial infection of the cut or abrasion. These have been shown to boost the immune system and to increase speed of healing.  Examples include gently rubbing aloe vera, honey, or lavender oil on the wound, and then covering it with a bandage.
Understand that sometimes it is easier to store pre-made disinfectant supplies at home. Purchase antiseptics. Use topical antibiotics. Try other natural remedies that decrease the chance of wound infection.