Some cyclists are a menace (not all, I was a cyclist myself at one time, and was never so rude or thoughtless)
I was walking with my dog on a long lead a while back, when one came up fast behind us in stealth mode, terrifying us both, and nearly crashing into my dog, he shouted at me that I should get my dog under control, so I told him he should get bell
As for horses, my Danny seems stunned into silence by them and never makes a murmur as they ride past, although he barks like crazy once they are out of sight

we always just stand to the side of the path, holding him by the collar or on a very short lead until they are past..and usually exchange a few polite comments with the riders, about the weather or amount of people about etc..most are considerate and its a pleasure to see them out and about on their beautiful horses
Only on one occasion have I had a bad experience with horse rider when walking on Bridle paths...two women went past on horses, we stood with Danny to the side, and as they went past, out of the bushes came two Great Danes who were running loose with the riders, they both went for Danny and barred their teeth at us when we tried to push them away...the women looked down ...one said "come" and off they trotted...leaving us to deal with their huge aggressive dogs, My OH had to pick Danny up, as he was so scared (hes a little Yorkie cross) and we had to shoo them away quite forcefully, the riders were well out of sight before the dogs eventually left us alone .. it was quite frightening at the time