I only use my own PC at home for online banking, but I know a lot of friends also use work PC's and smartphones.
Personally I also use my own computer only. Also I use only IE run as Administrator for banking and use Chrome for all other online activities.
I get my balance via sms and the bank also sends me a text when the balance changes. The more I read about mobile security lapses the less likely I want to use an mobile app for banking. At home I use my Linux box.
At home , on a Linux box. NEVER on a mobile device. I often have to travel abroad for work and if the only option is a public WiFi or internet cafe it has to wait until I have a relatively trustworthy connection. I wrote out a new thread topic on this very issue the other day but haven't posted yet . I'd very much appreciate the advice and opinions of other Wilders members on this subject.