Hi Andrew
Excellent discussion point.
Speed is the key for bird photography in many situations. You need to respond quickly and it helps to have the camera in whatever mode that works best for you to achieve this.
I find that for most bird photography it is helpful to have two of the three exposure parameters fixed and the other on auto. The two modes that work best for me are either manual+autoISO (that is, with shutter speed and aperture set manually, and camera sets ISO) or aperture priority (with aperture and ISO set manually, and camera sets shutter speed). In either case, exposure compensation would be dialed in as needed (I have this on rear dial for Av, and Set+front wheel for M).
I tend to focus on maximising shutter speed in most situations because despite advances in image stabilisation, shutter speed is your best friend in bird photography, as the subject is often not still! Therefore, I work in apertures at or near maximum on my 100-400 zoom (f/5.6 at 400) so I generally just leave this at f/5.6 or f/6.3, which I find gives me plenty of sharpness at the centre. I prioritise (1) shutter speed (2) ISO and (3) aperture. In aperture priority mode, I would try and judge the scene in advance but in relatively shady situations I would often be at ISO 800 or higher - you can clean up reasonable amounts of noise but if the image is not sharp there is nothing to be done to resurrect it. So I might approach a shoot with the aperture fixed at f/6.3, ISO set at 800 and let the shutter speed be set by the camera provided it stays at above around 1/800s. If the light fades I would drop back to f/5.6 and ramp up ISO, to keep shutter speed high. In manual+autoISO I would set the camera at a suitable shutter speed (say 1/800s or higher), the aperture at f/5.6 or f/6.3 and let the camera choose ISO. Importantly, if you do this, you should consider setting the maximum ISO that you are prepared to tolerate in auto ISO (there is a menu setting to do this in Canon).
Exposure compensation would be dialed in as normal eg for a dark bird against a bright background you could add +1 or even +2 EV, and for a white bird against a darkish background, up to -1 EV. Obviously this would depend on your metering mode - this would be for a wide metering mode (I use centre-weighted); if you use spot metering different adjustments may be needed, and spot metering is probably most reliable in M mode. Also bear in mind different cameras respond slightly differently so you need to work out what's best for your model. Remember that metering is often read at the centre point of the viewfinder rather than on the focus point you set (so if you shift focus points you may find you are focusing on one point and metering on another).
Obviously having one setting automated will mean exposure settings are constantly changing as you move around. There are some situations where this can be undesirable eg if you are doing birds in flight, exposure will change as you pan across different backgrounds. In this situation, provided you can prepare in advance, it can be advantageous to meter off the bird in anticipation. Provided the light on the bird stays reasonably constant as it moves, the exposure will then be accurate for the bird regardless of the background.
Many of our members prefer fully manual mode. I will leave them to comment on their preferred techniques, but I think one way you could operate is similar to manual+autoISO. This involves setting the aperture and shutter speed in advance, and prescribing the ISO function to your preferred wheel/dial on the camera. In the field, you just adjust the ISO as needed to adjust the exposure.
If you are someone who likes to use specific shooting menus (eg C1, C2 in Canon) you could ascribe settings for different situations to different C settings. Eg you could set one to your preferred settings for relatively static birds and one primarily for birds in flight.
Also think about autofocus settings. You may need to trial different combinations of autofocus parameters to get the best options of tracking parameters and numbers of focus points that work best for you. DSLR autofocus systems can be confused by bush settings in reduced light, leading to hunting. Many of our members use the 5D series and could probably advise of their favourite settings.
Happy to answer any further questions.
Regards
Simon