We get lots of moles too and wherever they have been the weed seeds are turned up to the surface so thistles and docks grow there next year.
There are two ways of looking at it. You can tear your hair out and rant, lay traps knowing that even if you kill the mole a new one will just move into it's territory and start again ........
Or....
Say to yourself, we must have a lot of worms so our soil must be good and great, lots of natural land drains!
Our sheep like to lie on the molehills because the dark earth is warm, which flattens them anyway, and I dig out any thistles which appear and add the tops to the compost heap. Thistles and docks are deep mineral accumulators because their tap roots harvest goodies from deep down. If you use the plant as compost you are harvesting all that goodness for your garden. If you dig them out when they are small they are no effort to lift.
Imo, fighting nature is a waste of my energy, it's better to make it work for you.
Good luck whatever you decide
