(This is only our second time brooding chicks, but both our full-grown hens and our chicks run when they see us, so what we've been doing works at least for our set).
Our first set of chicks started out running from us from the day we got them; to convince them to be friendly, we didn't pick them up when they didn't want to be picked up (except for pasty butt). We would hold out our hands very low, palm up, with some kind of food/treat (chicken food works fine), and wait patiently. They eventually learned to come, though some were more skittish than others. One key trick is NOT grabbing them when they approach--let them hop on and off the human hand to get comfy. "Pecking" the food with a finger sometimes seems to get them interested. We also found that they didn't like to be petted like dogs, but that they seemed ok with getting poked on the end of their beak, and once they are jumping in your hands comfortably, you can try fully enclosing them (which seems to make them feel safe and happy).
Now that they're grown, they all come running to us--But the chickens that liked to be picked up as chicks aren't necessarily the same ones that like to be picked up now. They all still come running from across the yard if they see humans, but some like to be picked up more than others.
I've never used a dog crate, but you might be able to make the slow movement thing work, if you sit down in front of the crate (and approach it slowly), then open the door (slowly), and put your hands in low (even for picking up food/water etc). Hanging out and being slow and unalarming may help tremendously.
Our second lot started out unafraid (we got them by mail directly from a hatchery, instead of through a third party, and I guess they didn't have a chance to get "scary" human handling), and they still come running when they see humans and jump all over our hands if we put them in their brooder. They're two weeks old and have just started climbing our arms and jumping on our heads.
We are pretty extreme in the not grabbing the chicks and manhandling them direction if we can avoid it; many folks seem to have great success doing that, but we've found our chicks/chickens to be exceptionally friendly and unafraid of humans so far.