Midfielder Pienaar signed a four-and-a-half-year contract at White Hart Lane last night, hours after Woodgate and O'Hara came through 45 minutes for a Spurs XI at the club's training ground.
Pienaar, 28, joined Tottenham from Everton for a fee believed to be between £2.5million-£3million.
Confirming his destination on his Twitter account, Pienaar said: "To end speculation I am going to Spurs. I've had brilliant years at Everton and it will always be a special place in my heart."
He later added: "I can also confirm I'll be jersey number 40."
Announcing the completion of the transfer on their official website, www.tottenhamhotspur.com, Spurs said in a statement: "We are delighted to announce that we have reached agreement with Everton and Steven Pienaar for the player's transfer to the club."
Source: PA
Source: PA