Prepare the bigger pot with enough soil so your old pot sit's were you want for height, plant pot and all.
Put your thumb on one side of the stock and your index finger on the other side, palm down on the soil.
Flip the container upside-down resting the plant, soil, and root ball in your hand. Stuff will fall out just let it and be prepared.
Lightly tap around your pot to loosen/free it from the root ball and remove pot.
Gently but steadily place the plant in the center of the new container, you have to flip it so dont be afraid to use both hands, fill the pot with soil.
Make sure both pots soil is damp but not soaked, I water the day before. this is important to hold the soil together when moving it.
I know it can be a little frightening but rest assured this is a common thing and not that hard on the plant.
You got this.