Westerbork Jewish Transit Camp (8 Aug 1944 - 3 Sept 1944):
All of the people who had been in hiding were taken to the Punishment Block, barrack 67.
They were put to work dismantling batteries (might have only been the Frank women).
(HLOF p. 135; AF:B p. 235-6)

Transport from Westerbork (3 Sept to the night of 5-6 Sept 1944):
Transport #83: the very last transport from Westerbork
1,019 people (498 men, 442 women, 79 children) on a cattle car train
(CE p. 50-1)

Auschwitz-Birkenau (arrival: night of 5-6 Sept 1944):
Immediately upon arrival: 549 people (240 men, 230 women, and all 79 children) were selected to be killed.
(Accounts differ about whether Mr. v. Pels was selected that night.)

The men:
The label tatooed on Otto's arm: B-9174.
The men were taken to a quarantine block.
Later they were moved to Block II.
Peter was put to work in the camp post office, or some other office job.
The other men did outdoor labor.
In November, Otto was sent to the grossly inadequate hospital.
He was liberated there on 27 Jan 1945, by the Russians.

The women:
were tatooed number labels somewhere between A-25060 and A-25271,
and were taken to a quarantine block.
Then they were moved to Women's Block 29, in Birkenau, and probably labored outdoors.
When Anne got scabies, she was sent to the scabies block. (Margot and possibly their mother went, too, to be with her.)

Bergen-Belsen (Anne's and Margot's arrival, by cattle car train: 28 Oct 1944):
For the first few days, Anne and Margot were in one of the tents, which then blew down.
Then they were moved to barracks.
When they got typhus, they were moved to Schonungsblock 19, where they both died.
They died within a few days of each other, sometime between the end of February and end of March 1945.
(AF:B p. 247, 253-4, 256, 262; AFR photos section, the translation of the letter informing of Margot's and Anne's deaths)

Displaced Persons Camps:
Otto's D.P. Index Card number: G04161321
(AFR photos area)

Otto was sent to Odessa (via Kattowitz and Czernowitz). From there, he travelled by ship to Marseilles and reached Amsterdam on 3 June 1945. He had learned of his wife's death in the end of March. On July 18 or 19, he learned of his daughters' deaths. (AF:B p. 272)

The above references (Anne Frank: the Biography; Anne Frank Remembered; The Hidden Life of Otto Frank, and Critical Edition) all have more detail and, of course, descriptions. For still more extensive descriptions than those, read The Last Seven Months of Anne Frank.