Every time you transplant you open yourself to plant damage and always have a modicum of transplant shock that will temporarily slow down growth.
Remove the cotyledons on your plant.
Fill a 7-gallon pot of any of the materials you mentioned with whatever grow medium you decide to use. You can literally walk in your local garden supply store and pick a pot you think looks nice, whatever the material. The more porous the material, the more often you will water. Bags have handles. While porous fabric pots breathe, porous clay pots wick moisture from soil. Tapered pots are easier to knock over.
What you have been using for soil looks fine. Fill it to 2" to the top of the pot. Water the pot so the water pours out the bottom. Wait 12 hours.
Remove the plant, soil, and root ball from the peat pot it is in. Cutting down the sides of the pot might be the easiest.
Dig a hole in your pot deep enough so the cotyledons would have been level with the soil. Put your plant in and fill the hole. Water the pot.
Grow.