The TM and HM case are given to you automatically when you get a TM or you get an HM. You can get TM THIEF in Mount Moon and HM SURF in the S. S. Anne.
To access your TM/HM case you need to go to your BAG and it is one of the options in your KEY ITEMS slot. The name is in BLUE letters you can not miss it :)
The short answer is no. There is no Dive, HM 08, in Pokemon FireRed.
Their are 7 HM's available in Firered.
You cannot get it in Pokemon FireRed. It doesn't matter because it is not necessary in Pokemon FireRed.
Where did you hear that? There is no such HM as remover in any game.
icefall cave
pour water on your game
waterfall
At rt 2.
HM 8 doesn't exist in Pokemon Fire Red or Leaf Green.
its in fushia city which you need to go to the safari zone and need to go to the end of it to get the hm 03 surf
Celadon City
Either by using the HM Strength or by using the HM Rock Smash