I wouldn't eat them, you should never eat a mushroom unless you have a confirmed ID that they're ok. I can't tell for sure what those are. But so long as you're not eating them, they shouldn't be dangerous in any way.
Yep I know what you mean. Chances are highly likely they're doing your veggies good and not harm. Most mushrooms are from either saprophytic fungi, which break down already dead organic matter, or from mycorrhizal fungi, which have a mutually beneficial symbiotic relationship with the plant. There are a few that are parasitic, but they are the minority. So it's most likely that the fungus that produced your mushrooms are helping your veggies by composting the soil around them for you. The mushrooms that are poisonous don't exude their poison into the surroundings, although it can be in the mycellium in the soil. But, so long as you're not eating the soil and just the veggies, you'll be fine even if it were poisonous.
The pets are a slightly different manner. If the mushrooms are poisonous and your pets are eating them it could be a problem. If you're concerned your pets might snack on them and want a better ID, pick one and get some pictures of the side view with the stem and the underside of the cap, this will help with the ID.
BTW even with poisonous mushrooms, there is none that will hurt you by just touching it. Just wash your hands afterward, no worries.
Makes total sense that it would help the soil!!! Thank you! I don't have any for a new picture anymore, but I get different ones all the time in that same area, so next time I'll take a side pic of the stem too!