Try Mention.net, it works really well. https://en.mention.net/ - Of course you can use Google Alerts too.

Use Gmail to import everything into one account. https://support.google.com/mail/answer/21289?hl=en It's a good idea to keep accounts separate though if they are for different purposes. You can setup filters in Gmail for important emails. I also find it very helpful to use Google Chrome's User Accounts to easily switch between different Google accounts. Feel free to call me at 812-650-4405 if you want to discuss this more.