If your looking for permanent home charging I would hard wire a charger in your garage. The Tesla wall connector is available at an attractive price.
Electrical code require that outlets in the garage or outdoors be installed with a GFCI breaker. These breakers are expensive and can trip frequently. Hard wiring something like a wall connector eliminates the need for the GFCI breaker (no receptacle).
Lastly you can choose to reuse the dryer circuit but you would be limited (assuming 30 amp breaker) to 24 amps max charge rate (half the max charge rate). Ideally if you could run a new 60 amp circuit and hard wire in a wall connector that would give you a safe, reliable, fast charging setup long term.