Blue-tongued skinks are among the more handleable reptiles, and a calm, well-socialized skink generally tolerates gentle interaction well, but supporting the animal properly is the foundation of safe handling. The right approach is to support the full body, including the heavy midsection, rather than restraining or grabbing the animal, and to move slowly and predictably. There is little specialized gear required here; the most important tools are patience and good technique.
For day-to-day handling, clean hands and a calm environment matter more than equipment. Washing before and after handling protects both you and the animal, and a quiet space free of sudden movements helps a skink stay relaxed. Some keepers like to handle over a soft surface or low table so that an unexpected wriggle never results in a fall, which is a sensible precaution given how an animal of this weight can injure itself dropping even a short distance.
When you do need transport gear, the priority is a secure, ventilated, appropriately sized container for short trips, such as vet visits. A solid-sided container with ventilation holds warmth and reduces visual stress better than an open or flimsy one, and a layer of familiar substrate or a cloth inside gives the animal something secure to grip and hide against. The container should latch reliably so there is no chance of escape in transit.
Temperature control during transport deserves attention, especially in extreme weather. A skink should never be left in a cold car or a hot enclosed space, and for longer trips keepers often use insulated containers and, where appropriate, safe warming products to keep the animal within a tolerable range. Keeping transport brief, dark, and stable is the best way to minimize the stress that travel inevitably causes a reptile.