The Chainsaw is your main source of Ammo. This will maximize the amount of armor drops you are given at a time before you need to wait for the tool to recharge.
Using the Flame Belch makes the enemies afflicted drop armor for your Doom Slayer, the best way to capitalize on the power of the flame belch is to use it on a group of 3 or more demons. That is the Flame Belch, Chainsaw, and Glory Kills. The most important skill to learn in Doom Eternal is balancing the three mains sources of life and protection in the game. You can even stun smaller demons close to death to set them up for a Glory kill. The dash recharges quick, and can be upgraded to recharge even quicker, so use it constantly to save yourself from demons. The dash is essential to use in all aspects of Doom Eternal, whether your are platforming the world or dodging enemy attacks, the dash is incredibly useful. Jump pads, pull up bars, and platforms all offer moment to moment escapes and rest that allow you to assess your surroundings and understand what move to make next, without stopping and leaving you vulnerable to attacks.
Not only will you have your double jump and double dash, most environments will also have several different intractable.
Thankfully there are many way stay quick throughout all your encounters. In Doom Eternal, anything short of constant movement means absolute death.