"How come eth doesn’t use ASICS?"
It's intentionally designed to be memory-hard so that ASIC implementation is more difficult. Lots of people in the cryptocurrency world consider ASIC mining to be a misfeature, because it centralizes mining among firms that have the capital to do chip development. Litecoin's entire reason for existence is "Bitcoin, but can't be mined by ASICs".
"Also when they switch to pos how do they transfer your coins over?"
There's already a beacon chain running Ethereum proof-of-stake. Think of this like a dark launch for web tech - basically you run the new infrastructure in parallel with the old infrastructure, make sure it's stable, get everybody adopting it, and then cut over the UI to use the new infrastructure.
There's a one-way bridge that ports state over from the PoW chain to the beacon chain. Think of this as a double-write layer; all new transactions get written both to the PoW and PoS chains.
In early 2022 "The Merge" happens. This takes the form of the "difficulty bomb" - basically, Ethereum mining will get exponentially harder and eventually unprofitable until all the existing miners turn off their machines and switch to PoS, at which point there will be no point to mining Ethereum and no point to writing transactions to the PoW chain.