I pay for my account, but there is a free version too.

They also have a service (
I think it is included in the free version too) where you can get a temporary email address for filling out forms and other stuff. You can delete it at any time, and it is no longer existent, so anything went there (after deletion) will bounce back.
It also has filters you can easily set up to redirect spam and unwanted mail to the spam folder. I may get 1 or 2 spam mails that slip through a month.
I think the free version gives you 10, while I think I get 50. I use about 20 at any given time. It will automatically redirect back to your main email account.
(That service, off the top of my head, is called SimpleLogin)
By the way, it has an external app (no need for using a browser) for Apple (iPhone and iPad), Windows, Linux, and Android.