I am fortunately not at all afraid of spiders or daddy-long-legs, as I take after my father, which my mother who was afraid of spiders found very useful, as from an early age, I put spiders out in the garden when they were terrorising her.
Mice- well, as long as they are outside, they may live in peace for me - if they are stupid enough to come in, they don't last long as I have two highly efficient mousers. We have always kept cats and left them to deal with mice, and they do eat spiders, flies and daddy-long-legs as well. Of course, I am regularly presented with freshly killed field-mice, shrews and voles, and on one memorable occasion the queenie cat proudly showed me the rat she had killed. I have n o idea where she had found it - not in this garden, but I do know both she and her brother consider the neighbouring properties their hunting grounds as well as their own garden.
Late summer and early autumn are the times for spiders here, apart from the resident spider in the garage, He apparently has a signed and sealed agreement with the cats, as has one pair of blackbirds in the garden.