Bloomfield, 40, takes charge of the Hatters after Rob Edwards agreed to step down from the role last week.
He arrives at the Championship from Sky Bet League One promotion hopefuls Wycombe and will be joined by assistant Richard Thomas, first-team coach Lee Harrison and analyst Ben Cirne.
Bloomfield, who has signed a three-and-a-half-year contract, made over 500 appearances for the Chairboys as a player and returned to Adams Park as a manager in 2023 following a stint in charge of Colchester.
But who will now succeed him as manager of Wycombe, a team who are second in League One, four points clear of fourth-placed Huddersfield Town who they lost 1-0 to last Tuesday, and nine clear of Barnsley in fifth.
Here’s a look at the contenders. Odds provided by Bonus Code Bets.
9. 6. Rob Page - 7/1
Rob Page, the long-time Sheffield United defender, has been out of work since leaving his post as manager of Wales, who he took to the World Cup in 2022. (Picture: Fran Santiago/Getty Images) Photo: Fran Santiago
10. 5. Steven Schumacher - 11/2
Former Bradford City player Steven Schumacher was last in management with Stoke City of the Championship at the start of the season. He took Plymouth out of League One two seasons ago (Picture: George Wood/Getty Images) Photo: George Wood
11. 4. Lee Bell - 5/1
Crewe Alexandra manager Lee Bell, whose team knocked out Doncaster Rovers in last year's League Two play-offs, is high up in the betting for the Wycombe job (Picture: Ed Sykes/Getty Images) Photo: Ed Sykes
12. 3. Michael Appleton - 5/1
Former Blackburn and Charlton manager Michael Appleton is third favourite (Picture: Paul Thomas/Getty Images) Photo: Paul Thomas