Hi there
As a vet, I also get quite excited looking at poo.
Most worms in the gut are roundworms, and generally all that passes out is eggs, which can only be seen with a microscope, unless a massive number of worms are killed and then you might see some worms pop out.
Tapeworms, however, reproduce by passing out small segments of worm that are full of eggs, and will wriggle to a clean spot on the field where someone else will eat them more than if they are in the middle of a poo!
Liver fluke will move around in the liver and tissues of the body until adults, and lay eggs again into the gut so as to be passed out, but these are also microscopic, and often need specialists to look for them.
We can look for roundworm eggs at the practice, but may or may not spot tapeworm, and always send away poo to look for fluke.
The fact that you're finding something would suggest to me that it would be best to take some poo to your vet, and discuss what worming you have done in the past and come up with a worming plan for the coming year, I can see it being a bad year with wet weather to start off with, and probably get nice and mild and wet for worms during the summer
Hope that helps.
Suzanne