I've run over a squirrel before. It ran off, so it must not have been too bad. Another rider told me to make a loud PSSTTTT!!!! noise (like a snake but in a short burst like a squirt of water) at squirrels who look like they may run in front of you. I do it now and it works every time.
I'll have to try the dog advice next time I get chased. There's a scrappy little mutt that runs after me on one of my routes. I usually yell, 'Go home!"...to no avail. Eventually he gets tired and stops chasing.
She's going the distance...
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'14 Orbea Orca Dama, Specialized Jett
'10 Giant Avail
'87 Schwinn Cimarron, Brooks B17
Trek mountain bike...don't know what year