• Masekhet Semachot (7:11) in regards to mourning writes that lihistaper means to cut the hair of one's head, mustache, beard, and all other hair.

• Nitei Gavriel (Pesachvol 3, 49:2) and Chazon Ovadyah (p. 262) write that including in the minhag not to take a hair cut is not to shave.

• Masekhet Semachot (7:11) in regards to mourning writes that lihistaper means to cut the hair of one's head, mustache, beard, and all other hair.

• Nitei Gavriel (Pesachvol 3, 49:2) and Chazon Ovadyah (p. 262) write that including in the minhag not to take a hair cut is not to shave.

And as sam pointed out in a comment, the Mishna Berura forbids shaving at all times, so it wouldn't make sense to mention it about sefira.

• Masekhet Semachot (7:11) in regards to mourning writes that lihistaper means to cutting the hair of one's head, mustache, beard, and all other hair.

• Nitei Gavriel (Pesachvol 3, 49:2) and Chazon Ovadyah (p. 262) write that including in the minhag not to take a hair cut is not to shave.

• Masekhet Semachot (7:11) in regards to mourning writes that lihistaper means to cut the hair of one's head, mustache, beard, and all other hair.

• Nitei Gavriel (Pesachvol 3, 49:2) and Chazon Ovadyah (p. 262) write that including in the minhag not to take a hair cut is not to shave.