Look in the datasheets for impedance below 0.04-0.06 ohm .... the capacitors with such value are low esr... ultra low esr i'd say would be 0.006-0.025 ohm - but be careful, as some circuits are designed to have some impedance, they won't like ultra low esr capacitors.
Also look for the amount of ripple current they can handle - you want the value listed at 100kHz or anything above 10 kHz at a positive temperature ... if the datasheet only lists 120Hz or some low frequency, that's a sign those capacitors are not suitable for switching power supplies or other high frequency stuff. You want a value as high as possible.
Last, look at the temperature rating, make sure they're 105c and ideally 2000 hours or better - lcd monitors can be quite hot in the back, so you want capacitors that can handle heat well.
Oh... and don't forget to check the diameter and height - you want capacitors that fit in the room you have and not touch the lid and cause shorts or other bad things.
For a 470uF 25v like Dave has in the monitor, you're looking for something with at least 800mA ripple and about 0.04-0.06 ohm impedance - something like Panasonic FC series would fit this and would be the lowest from Panasonic I'd use.
For a 820uF 25v, something around 1200mA and 0.04 or lower impedance would work.
Good brands and series for monitor fixing would be (imho, i may be wrong with some, not really an expert in this):
Panasonic FM, FR, FC (in worst case),
Nichicon HM, HD, HE,
United Chemi Con KZE, KY , LXZ ,
Rubycon ZL, ZLH, YXF , YXJ etc