Heart of the Swarm Campaign- Dominion Space Achievements: Conviction

Normal Difficulty:

Conviction (10): Win.

Staying Alive (10): Complete the mission without Sarah Kerrigan ever dropping below 50% of her maximum life.  This isn't all that hard, as the constant unit drops will go a long way towards keeping Kerrigan secure behind a wall of Zerg.  The only really difficult point could be at the beginning, if you haven't kept ahold of any of the ranged-area attacks the Queen of Blades can wield or her unit-spawning baneling ability, but once you get past the first garrison there's really no chance for the Dominion forces to actually start shooting her.

Saturday Night Fever (10): Get to the Prison Deck in under 8 minutes.  If you don't allow yourself to get diverted and don't concern yourself with the virophage locations during the mission, this is pretty much the simplest achievement there is, though not among the easier ones.  Breaking your way through needs to be your first priority and there's really not going to be time to worry about building up more forces.  For this purpose, anything that improves your unit durability and ability to supply yourself with more attackers (Spawn Banelings, Wild Mutation or Mend, Infest Broodlings, and Crushing Grip are all excellent choices here as well) needs to be your priority pre-mission choice to set up for the long haul through the ship.

Hard Difficulty:

Fast Break (10): Complete the mission within 10 minutes.  While this wouldn't be too much of a challenge in Normal difficulty, it can be a mouse-breaker in Hard.  Choosing beforehand between micromanagement or macromanagement styles is a must here- with skills you can develop from the Saturday Night Fever achievement and a learned understanding of when and where enemy units show up, you can probably make the right selections to complete the mission at this accelerated pace.  Make sure to take full advantage of the unit drops provided throughout the mission and focus fire from all your units simultaneously on the hardest enemy present in each location so that you can wipe out the garrison forces as quickly as possible.