Medical Pavilion *

Vita-chambers

1. As soon as you enter, on your left.
2. In the room with the shotgun on the floor.
3. In the room where the sign is blown up.

Normal Progression

Grab the first aid kit and machine gun ammo on the desk before running past the splicers, letting them fight each other, and hit the first switch.

Can be skipped by hitting the wheelchair at the very beginning over underneath 
the window, standing on top, hitting out the glass, and flipping the switch 
from the other side, like cortez does.  Also skips the ambush you get when you
flip the switch normally, which is kinda nice. Tough to pull off quickly.

Shoot the window out on your way to the second switch. Pull it, and jump out the window.

Trigger ghost.

A good time to back up and collect whatever you can. You're stuck waiting.

After ghost is finished, push button to open door.

Go along the left side of the area ahead through the archway with a torch above it, grabbing the EVE Hypo on the ground as you go. Let the splicer at the door blow up, then run past the Nitro Splicer, up the stairs. Crawl into the hole to get Incinerate, turn around and run back out to the arch with the torch.

Can be skipped by using a flaming object instead.

It is possible to grab Doctor Steinmann's grenade that he tosses to destroy the 
sign, although it doesn't stop the sign from exploding. This saves the trouble 
of grabbing a grenade from a Nitro Splicer, but using Steinmann's grenade seems 
very difficult. It only worked about 10% of the time during Tremalkinger's 
attempts, but without any real detectable correlation between time waited or 
angle.

Melt ice downstairs.

Collect Telekinesis.

Use Telekinesis to catch a Nitro Splicer's explosive, then use it on the sign.

Ignoring this guy, going through the closer door, and jumping the counter may
be faster

Run back to the stairs you went down to get here and go through the door up there that is between them, catching an explosive from a Nitro Splicer along the way. Blow up the sign with it.

Pick up the corpse on the ground, not in the chair, and loot it as you run up to the gate, then launch it at the flying bot as soon as the gate opens. Zap the turret as you run forward. Run up to Steinman's window, wait until he starts talking, then loot the room.

Kill Steinman and collect his key. (Telekinesis on propane tanks is advised. Headshots do increase telekenisis damage like anything else)

Optional: Go through break in tunnel to cutscene with Little Sister, rescue or
harvest the Little Sister. Select the Gatherer's Garden to open the exit.
Pros: You gain 80 or 160 ADAM, as well as random loot. Usually includes bandages, 2 
First Aid Kits and an EVE hypo plus some pistol bullets. 
Cons: You lose about one minute and fifty seconds.
If you chose to skip the cutscene, either die against the far door to spawn down in 
Dandy Dentals, or deactivate a bot in the doorway to prop the door open.

Return to the first switch and activate it.

Exit via bathysphere.

Useful Death Warps

If you are skipping the sequence with the Little Sister, go all the way down the broken tunnel and drag some splicers with you. You need to be pressed into the corner of the door on the right side, if you are facing the door. Another possibility is to throw remaining propane tanks at yourself, or electrocute yourself in the water.

If you are not skipping the sequence with the Little Sister, warp as soon as you get Steinman's key. There are propane tanks in that room and one down in the pool of water, not to mention the pool of water itself. You will come out in the room where you blew up the sign and the swarm of splicers won't spawn.

Skipping Incinerate!

Melting the ice at the entrance to Dandy Dentals is necessary, so must be done using normal fire to skip Incinerate! The only sources of normal fire in the level are the Eternal Flame sign, the fire at the entrance to Eternal Flame, the burning body of a splicer who is killed in a scripted sequence when you approach Eternal Flame, and any body killed by an exploding fire extinguisher. The fastest method of melting the ice that is known to be possible is to set a small object (such as a nearby ashtray or the nearby bucket) alight using the burning splicer at Eternal Flame, then to quickly move that object to the ice that needs to be melted by attacking it with weapons or electrobolt.

ExplodingCabbage's notes on it: [1] [2]

Skipping Telekinesis

So far a way has not been found to skip Telekinesis.

The splicer who blows up the sign can not be killed.

The opening under the sign before it is blown up is an invisible barrier.

Explosives that have not been handled with Telekinesis will not blow up the sign.

Skipping Telekinesis is of VERY questionable value, considering how useful it is later on.

Audio Skips

None, surprisingly enough. Every audio message that plays either isn't holding anything up, or is ambient and unskippable. The only two messages worth skipping (at the end of the little Harvest/Rescue drama) are avoided by the death warp.

Notes

"Ran to the bot stuck in the door and hacked it. You can't blow it up - I tried. " - Cauldrath

Cauldrath's notes on his first run: [3]

ExplodingCabbage's notes on propping open a door or two: [4]