Regarding changing rims and tires for the wagon to get a smooth ride, turn corners easily and not destroy the original ride of the vehicle.
According to the Corolla Manual, 195 60 15 are recommended.
You can use the tyre size calculator, but going anove 15s means you need to go below 60 series.
I use Kumho KH 11s, 320 Treadwear, AA traction and A temperature.
They have the performance stats, ride comfort, and low road noise, but they ain't the prettiest.
205 60 15s would give you about 6mm lift in height.
P.S. If the tyreman tell you that all 60 series tyres have the same height, he either lying or don't know his a$$ from his elbow.