In the photos you can see an area where Spanish needle seedlings had started growing in one of my walking paths so I dug up, and potted, the amount I wanted to deal with and tossed the rest onto a brush pile. I suppose that is another bonus … since they are abundant I don’t feel guilty about letting some go into the brush pile.
There is no need to be ginger with removing them from the soil just put your spade in the ground and start to dig them up. Also, there is no need to worry about how much soil stays attached to the roots. I put them in a bucket with a little bit of water until I get done with the area that I’m working on. If the soil is loose enough they can be pulled out by hand, but I wouldn’t suggest it as they tend to break off and it causes more stress to the plant.
Once you have a bucket of small Spanish needles get them, and yourself, into some shade and start potting them up.