Hello and welcome to the area! I live on Stondon Park, and though I don't have a car, there is usually space along the road for parking. However... if you are moving this Sunday (June 5th) then there is a Big Lunch party on Riseldine Road, and there are flyers on the cars currently parked there asking for them to be removed for the party on Sunday as the road will be closed to traffic - this will no doubt have a knock on affect for parking on neighbouring roads, of which Stondon Park is one.
Of course you may not be anywhere near Riseldine Rd or moving this Sunday, so it may not be relevant to you!
Hope the move goes well!