From the video it feels like they are selling this poster, and it is pretty cool so fair enough. It reminds me of when I tried to sell a physics poster to celebrate the first anniversary of the gravitational waves discovery. Here was my fundraiser + emotional/inspirational poster video: https://www.indiegogo.com/projects/the-gravitational-waves-a... to see the video). I personally ended up down a few hundred pounds, but it was a fun experience and we raised a bit of money for charity. (Many posters still left in my cupboard, so please get in touch if you're interested - email in profile.)
Yes, at the largest scales there are large structures composed of galaxies with voids between them. At smaller scales, we can observer large clusters of galaxies.
You can see how fast they're moving away from us by their colour.
As for how fast they're moving sideways, nobody knows! But it's slow compared to how fast they're moving away from us. (Except for a very very small number of galaxies close to us.)