Once you install enigmail and generate your keys, encryption/decryption is transparent, no more trouble than sending or receiving plaintext emails. Like I said, the problem is getting others to use encryption. Opengpg is still secure, AFAIK, since the source code is available and is checked by lots of people who know what to look for. Commercial encryption software can't be trusted not to have backdoors, and I wouldn't use it for anything.
If you're worried about your email provider getting your data and/or selling it or giving it to the government, GoDaddy would not be my first choice. Google is far preferable. Finding reliable, secure email providers is becoming difficult at best, and some of the old reliables have closed down due to US government intervention. They decided to close rather than give up their users' emails. The only US provider I know of that can be trusted right now is riseup.net. Providers outside the US don't have to abide by US government orders, so they would probably be a better idea, although most are not free. But if you're really worried about it, they aren't that expensive.