The Scottish coach has been reappointed as manager of the Toffees and admits that the emotional appeal of returning to the club he managed between 2002 and 2013 tempted him back into the dugout following his departure from West Ham last summer.
Asked if Everton was the only job he would have taken, Moyes said: "Yes, I believe so, because I don't think there is anything else.
"I have had opportunities to consider other jobs, quite a few since I left West Ham, and I didn't feel ready for it but I always thought if the job came in, it was too big an opportunity to turn down. I want to show I can go again.
"In football, you always have to prove yourself and I'll try to do that again."
Moyes is tasked with preserving Everton's Premier League status before they move into their new Bramley-Moore Dock stadium later this year and knows he is stepping into the "huge pressure" of a relegation dogfight.
He said: "I see it as a huge pressure and when you care so much about a club and have such a long period [away], it makes me realise it is a really popular club, one that needs to be - and has been - in the top flight.
"It would be a great feeling for us all to be in the new stadium. But it would mainly be great if we are a Premier League club and can give everyone something to shout about."
Moyes left Everton in 2013 for his ill-fated stint at Manchester United and believes things will be different for both parties in his second spell.
He said: "I don't think it'll be the same Everton. And it's probably not the same David Moyes. A bit more experience maybe, a bit wiser.
"Ultimately, we've got to make sure that we're not near the bottom. That's the big key. After that, we can decide how we go and what we do from there."