I’m not on the T Slim but have used the OmniPod and then used other pumps with tubing. Just tuck the tubing in your pocket, underwear, or under your clothing. You can gently loop and tape it to keep it out of the way. It’s really no big deal, especially if your infusion set is on your abdomen or backside. The few times I’ve used my arms the tubing was annoying but a bit of tape was all that was needed.
Don’t try wearing the infusion set longer than 3 days. The continuous flow of insulin through the site sets up all kinds of local reactions in the skin and down the road could easily cause big problems.
Best of Luck!