Ethereum

Can Ethereum (ERC-20) be sent to a Ethereum (ETH) wallet? I have tried finding an answer to this on Google but I'm getting conflicting results and I don't really understand what the difference is between the two and if they are compatible or not.

The place I am getting my coin from says it is Ethereum (ERC-20) and I need to enter an address to send it to. The only Ethereum wallet I have right now is on LocalCoinSwap which says it is a Ethereum (ETH) wallet. Am I able to send it there or should I find a new place that specifically has Ethereum (ERC-20) wallets? Any info or suggestions are appreciated! Thanks!