do ticks move alone?

so my cat just had a tick, so i googled a bit and found out that they lay a ton of eggs, which made me wonder, where do they all go? i mean some get eaten i guess, but when they lay thousands of eggs, there will be a lot of ticks. like, where do they all go? just make a circle and everyone walks in a different direction? all together, but only one is allowed to actually jump onto a host? how to these things work, i dont get it. how come its mostly just one tick and is the place where i got the tick, full of other ticks?

if it matters, im talking about *Ixodes ricinus* since this is the most common here in germany, but there is also *Dermacentor reticulatus.*

also, since im already asking questions, how come no one cares about ticks? are they really that important? like its so different from how we are acting when it comes to mosquitos. i guess statistically mosquitos are more dangerous, but for example here in germany we do not have malaria and stuff like that, but we do have FSME and lyme disease and its spreading all over germany, but smh no one seems to care about that. i dont get how we cannot eradicate these creatures, because they are so important to the ecosystem or whatever, when we literally eradicate species on a daily basis. i mean ofc its not easy, but it doesnt seem like we are even trying to control it.....