What's the difference between Localbitcoins and Binance?
They're both an exchange but they are different in terms of classification. Localbitcoin is one of the few P2P (Peer to peer) exchange platform while Binance is the most popular centralized bitcoin exchange that exist. Its just Binance also implemented P2P exchange inside their platform. However, the best rates depends on what country you are living and how are you going to tackle issues with regards to your personal information as some of the exchange like Binance requires KYC/AML verification for you to be able to trade crypto to fiat currency.
Try to canvas the exchange price manually as most of them have different terms. Try using
preev to instantly browse exchange rate from four different platforms.
Or perhaps try checking these P2P platforms if you are concern about not going for KYC/AML verification.
[1]
https://bisq.network/[2]
https://www.hodlhodl.com/