I use contact lenses basically every day, and I have had no problems working in front of screens. There's a huge difference between the different brands. Mine is one of the more expensive ones (Acuvue Oasys 1-Day), so that might be part of it, but each eye is compatible with different lenses.
If I were you I would go to an optometrist and talk about this. They can also often give you free trials for different contacts and you can find one that works for you.
