A common strategy for starting the room is to hookshot to the bottom-left chest, but this is slower than simply walking diagonally. The hookshot can still be used after the diagonal walk, for the final movement upward to the chest, but the time save is marginal, even when done optimally.

Disregarding the Stalfos enemies, the fastest way to route the four chests and then exit the room is to circle the room clockwise or counter-clockwise. The actual strategy you use, however, will necessarily be highly dependent on your execution preferences, particularly in dealing with the Stalfos.

The shooters in this room trigger whenever Link is performing an action where his sword would be visible. Some shooters in the room will not fire if too many objects/sprites are on the screen at once -- including the Stalfos, their drops, and existing shooter fireballs. The shooters in this room are "prioritized" by their y-position, so the bottom-right shooter will always be prioritized first if there are too many objects on screen.

Because of this, the upper-left shooter will never fire until at least one of the Stalfos enemies is defeated. This can be used to your advantage if routing the chests in clockwise order, as you can safely dash without any risk of triggering that shooter.

This approach to the room takes advantage of the fact that the leftmost stalfos will always stop at the shooter, allowing it to be consistently killed with an arrow after moving up-right from the door. The bottom stalfos will generally be within reach for a sword slash, leaving only the top one to track and kill using either an arrow (which will avoid triggering the shooters) or a slash/dash, as appropriate.

You'll need to walk both down and left after opening the second chest before dashing to the left -- attempting to dash form the far right side of the room will result in being hit by the top-right shooter.

If the top stalfos moves all the way to the far right of the room, it's possible to shoot an arrow past the edge of the chest to guarantee a kill, though optimally this is slightly slower than a slash.

The video above showcases some other sample strategies -- you will have to experiment on your own to find an approach that works for you.

Some general tips:

• Right-first strategies generally prioritize defeating the Stalfos first, since all three of them initially walk toward that side of the room.
• Left-first strategies have a higher chance of ignoring the Stalfos altogether if the big key is in one of the chests. Generally a long dash is done across the room, which can also take out one or two of the Stalfos.
• Practice lining up for a clean horizontal dash in the upper part of the room without getting hit by the shooters. This can take practice as certain dash positions will result in getting knocked out of your dash.
• The middle Stalfos will always stop at the shooter, so it can be consistently killed upon entering the room with a rod shot, arrow, or even two sword beams.
• Arrows and rod shots will still travel during chest fanfares, even though the Stalfos will freeze in place.
• If trying to slash the Stalfos directly, aiming to hit them with the tip of Link's sword will reduce the chance that they will be damaged by a sword beam when at full health.
• The hookshot can be used to stun the Stalfos, making them easier to dispatch with a slash (this does not work with either boomerang).
• Rod shots and arrows will be blocked by chests, but will not collide with or be blocked by shooters.
• Using the Ether medallion in generally a few seconds slower, but is a 100% consistent way to defeat all Stalfos and guard against bad RNG/execution. Keep in mind, though, that the same amount of magic could instead be used for two rod shots, and may be useful elsewhere in the dungeon.