Yay, you're moving' along with the plan. Those burrs are a nightmare on my huge long haired dogs. The roam through the woods and pick them up constantly. Some of those nasty things work their way down to the skin and rub them raw. It's hard to catch them all.
Baby steps, but it's progress. ;~D
The flat black ones and the velvety velcro ones aren't so bad. At least they easier to remove. Those big balls of mini-fishhooks are a nightmare. Poor Tink has come in with her tail stuck to her ear or got so many in her paws, she couldn't walk. One of our friends' dog, Gizmo, had one of the flat black ones work it's way entirely through the web between two of his toes. Nasty is right!!