You need to grow Papaver somniferum. This is the species which produces the very large pods full of easily harvested seeds. There have been several discussions on growing these over the years. These are not the same as Oriental Poppies, Papaver orientale. Nor are they similar to Escholtzia californica, Californian Poppies, which are not the same genus.

They are not 'invasive' although they do self-seed, which is not at all the same thing. They are annuals and are unlikely to wander into a grassy areas they need cultivated earth to seed successfully.

Here are some shaggy double red ones on my allotment. I never sowed them - they just arrived. When they self sow they often come up single or different colours. Below the Papaver somniferum are some Papaver rhoeas, corn poppies.

Here is a link that might be useful: Breadseed Poppy

Thanks for the link, very helpful :)