I love Chrome and now with an Android phone I'm totally linked together, whichever device I'm using.
Regarding Banking, there is an important point to make and regardless of browsers, NEVER keep a link to banking or any other money matters in favorites. This gives a place for malware to hide and get access to your account so always type afresh in the title bar.
Also as I found almost to my cost!, once lodged in the link, it is capable of doing the same even typing a fresh page!, so get rid if you have a link.
Of course, if you use chrome typing afresh is easy, na enter, gets me straight to NatWest, pa, paypal, p, here, etc, chrome second guesses you all the time based on your habits, the more you use it the more intuitive it gets, so no need at all to keep links