Moyes has the global break to acquaint himself with the club and then three games that represent a decent chance of getting some precious points on the board; a trip to Watford is followed by an encounter with Leicester at the London Stadium before they face Everton at Goodison Park on November 29.
Moyes will face a tough run of fixtures in the lead up to Christmas, with matches against Manchester City, Chelsea and Arsenal still to come.
Co-chairmen David Gold and David Sullivan have a track record of mostly standing by their managers, and Sullivan said last month he wanted to honor Bilic's contract, which was due to expire at the end of the season, "unless things are desperate". 'I've maybe got 880 or 890 as a manager in total.
"I would like to welcome David to West Ham United", he told the Hammers' official website.
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They added: 'We see this as an exciting opportunity to appoint a quality manager to the position to inject fresh ideas, organisation and enthusiasm into a very talented squad.
"I'm sad and disappointed but not in the club", he said as he left the training ground. I can be very proud of my work here.
"This season we hoped we would make the step from the start, we just didn't make it", Bilic said.
Moyes has not worked in football since his sacking from Sunderland, who were relegated at the end of last season.
Avram Grant is the only manager to average less than a point per game with the club as he oversaw all but one game of the 2010-11 relegation season.
Alan Irvine and Chris Woods, who is already at the London Stadium as a goalkeeping coach, will also be part of the 54-year-old's team.