Now i created a wallet on electrum.
Is this desktop wallet (electrum) has lower transaction fees when transferring to binance? And is this trustworthy?
Great choice! I have been using Electrum for years and didn't face any problems with it and never lost a single Satoshi. However, you should know that Electrum supports only bitcoin. For other altcoins you will have to use other wallets. Also, make sure to ownload it from the official website and verify its signature. Read this guide:
[GUIDE] How to Safely Download and Verify Electrum