Bidwell is staying for at least another month from Everton and Watford full-back Hodson has agreed a deal until the end of the season.
Rob Kiernan, on loan at Griffin Park in November, has also rejoined the Bees on loan from Wigan and he is available for selection.
Striker Marcello Trotta plays the last game of his current loan spell from Fulham but the Bees are hoping to extend his stint as well.
Trotta, Harry Forrester and Shaleum Logan could return to the starting line-up after manager Uwe Rosler made changes for last Saturday's FA Cup draw against Southend.
However Rosler may also have one eye on Tuesday night's replay, with a visit from holders Chelsea on offer for the winners.
Midfielder Kevin O'Connor (ankle) and striker Farid El Alagui (knee) remain on the sidelines.