I fed the birds a lot this winter and I'm going to see this same thing, I'm sure, when it starts to warm up. If you don't want them pull them early because the larger they get the harder they are to pull. I always let a few grow but they pull out easily at this stage.

It looks like Tanacetum vulgare, or common tansy. You may have to use something like glyphosate and barricade the area to keep your dog away from it until the glyphosate is translocated to the roots of the plant. Maybe mowing it, then putting down black plastic or weed barrier fabric. Your local extension should have info on how to best eradicate it in your area.

Yes, I do see the dandelion leaf in that shot now, I think. And the small dandelion plant in the last one. They very well could be multiple things there. I will look at some Erigeron species and compare them to what I have outside. Thank you very much, again!

I'm thinking the top photos may not be Japanese Honeysuckle. After viewing tons of images of leaves of different strains of it on-line, NONE have as intensely indented heart shape at the base of the leaves as mine. None have leaves that look as thin and soft as these leaves are either. That, plus the fact it hasn't bloomed at all in two seasons with long runners clearly exposed to sunshine above the giant liriope and rose bush nearby, makes me think it is possible something else. Sadly, there's no doubt that the blotchy one is Saw Greenbriar and I'll have to get on that before it gets established. One site said to lay a tarp on the ground to protect other plants from the chemicals and to lay it flat onto the tarp and glyphosate the thing several times over a week or so. But since this one is so young, just one 13" shoot, and has appeared nowhere else in the bed or yard, hopefully it' has not developed a deep, underground root yet. I may try to shovel it up first (liriope and all) and kill that "sucker" in its infancy. I just planted that liriope last year and it should come out easily. :)