Standard Chartered Bank any time! 

- All your bank accounts are linked to the same Internet banking profile.

- Loads of common transactions can be done via Internet Banking.

- If you have a Credit Card with them, it's also linked to the same profile, allowing you to instantly settle Credit Card repayments from your accounts. (Barclays bank don't have this functionality... but I digress)

- Internet banking is free (unlike at I&M where periodic charges  and restrictions on what can be transacted apply)

- The interface looks polished and very professional....(KCB need prayers on this). This, somewhat gives you a sense of reassurance 

- The folks there continually make improvements on their platform. I have witnessed a few suggestions that I made to them get implemented.

And oh, they have hung some big banner on their Kenyatta Avenue Branch bragging about some award/recognition they got on their internet banking platform.

Excuse my obvious bias, I have been with SCB for quite long. 

PS : Try also to look for the Internet Banking pages of all the banks of interest... who knows what you'll dig up.

Tony.