David White, the former England striker who served under Kendall at Manchester City, became one of the First Division club's most expensive buys when he agreed to a pounds 500,000 move from Leeds. White had played three times on loan for the Blades.
Chris Short, a full-back and brother of Everton's Craig, arrived from Notts County - another of Kendall's previous clubs - with midfielder Paul Rogers going the opposite way. United receive a cash adjustment of pounds 30,000.
Kendall's other signing, the 37-year-old former England midfielder Gordon Cowans, joined from Wolves on a free transfer. The Celtic striker Andy Walker is also a pounds 250,000 target.
Birmingham have re-signed the former Barnet striker Gary Bull, whom they borrowed from Nottingham Forest last term, on loan until the end of the season. He is likely to make his debut against his cousin, Steve Bull, in Monday's derby with Wolves.