I need to exchange Bitcoins for Ethereum, but most exchanges require a lengthy verification process. Do you know of any platforms where I can quickly make the exchange without all this hassle?

Yeah, I get that verification thing can be annoying when you just want to make a simple swap. There are services that let you exchange cryptocurrencies without requiring account registration or ID verification. You just specify what you're sending and what you want to receive, they give you an address to send to, and the converted coins arrive in your wallet. The rates are usually competitive and the process is pretty straightforward. I've used this crypto exchange https://godex.io/ .