Transport trolley for 16″ and 19″ tyres

Good evening, the tyre change is coming again and because of the change I have to drag the tires in the ideal case about 50m. In itself no problem but I like to leave the tires unobserved. Therefore I look for a solution, each 4 tires to be transported once. For this at least a lowered curb must be overcome, which is perhaps 2-3 cm high, so not completely flat. I have a furniture dog which is not suitable for this. was stacked on it and the car also drives but I have hardly any control over the thing and can not overcome the curb. Now I have come across two further transport possibilities. A transport truck up to 150kg creates and a support area of 47.5 x 73 cm. Is the area sufficient for 19″ with 255/40 tires? Otherwise, for my feeling but too expensive, there are still such tire carts as this one. Identical carts are also available for about 160€. 160€ models can be transported but only a maximum of 18″ tires.