When you are in a fleet where a titan bridge will be used, you must be in the same fleet as the Titan, and within 2500m of the titan when it activates its bridge. When it activates its bridge, a blue aura surrounds the titan and much of the space around it and allows you to right click on the titan, and select “Jump to XXXXX” where the X's are the destination the titan is bridging to.
Bridges only last for a certain amount of time, and consume a large sum of fuel depending on the ship that jumps through (also like jump bridges).
So in short:
Approach titan until you are at 2000m, do not warp to 0 or just click approach
When you are within 2500m of the titan click keep at range on the titan, if you are closer than 1500m you are doing it wrong.
Wait for the FC to inform the fleet to jump.
Right click on the Titan, and select “Jump to XXXXX”
Some extra tips include
To avoid bumping the titan and get there quickly, you can prop mod towards the titan and select “keep at range > 7000m”. When you get close to this, turn the prop mod off and then select “keep at range 1500m”. You can modify these numbers to be more appropriate for the ship type you're flying.
If the titan is on a keepstar, warping at 0 is generally accepted these days.
Prop mod off when taking the bridge. Keeping it on uses extra fuel from the titan pilot.
The bridge stays active for 60 seconds. You have a bit from the time it goes up.
If you're coming late, it can be advantageous to wait until a small contingent forms. Invite those people to a chat or a voice comms subchannel and work together to get to the fleet.
Bridging to a cyno is *very* similar to jumping to a cyno, hence the mistakes you hear about. Don't rely on yourself to not make mistakes. Places like NASA have procedures in place so that nothing can go wrong with only one mistake. You'd be wise to follow their lead.
Bridge fit - You should generally fit three quality smartbombs and a cloak. This will help you get out of bad situations.
If you're on a friendly keepstar, always offline and online a module. This will put you below jump cap and help to prevent unfortunate mistakes. Don't even look at the bridge/jump menus if you're near or above jump cap. Be aware of tether cap regen, if you do this too quickly it may refill your cap and require you to offline/online a second time.
It may be helpful to have a clone bay fitted for bridging. While the clone bay is active, you can't accidentally jump. This does prevent you from docking and may make you vulnerable to bumps hoever.
Always have proper tank.
Be aware of the difference between the subcap undock and the capital undock. Try to position yourself in a good spot for the subcaps when you have time to do so. Expect faxes to undock and don't be in a position to get bumped by them. Also continually approach your bookmark to counteract any small bumps.
Exempt yourself from fleet warp BEFORE you undock. If you join fleet as you undock, it's very easy for that confirmation window to be replaced with a hostile fleet invite. They look the same. Move the confirmation dialog off center and check the FC. If a new window pops up it will be centered.
Warping to a citadel and back is a bad habit. The kind that can get you caught if you do it regularly.
Bridging requires 300 strontium per bridge (at skill level 4) and anywhere from 1000 to 70,000 isotopes. Be sure to have enough isotopes to bridges AND to jump at least twice. Though you should have a million isotopes in your titan for other reasons (such as your DD requiring 50k isotopes per fire).
Consider using your watch list to bridge or jump instead of your capacitor. This will exclude all beacons and deployables and only show standard recon cynos.