Earlier quoted context omitted.
I haven't had anything odd yet. Ironically, Chase did flag my DigitalOcean charges last week.
A few months ago I had some trouble with BofA flagging my card for "suspicious activity." I had to go in and get a new card twice over two months. The only change I can think of is that I switched hosting to DigitalOcean. I had been thinking of switching banks for awhile, but this ended up being the biggest motivator to finally pull the trigger.
Whenever I've had an actual fraudulent charge, Chase has just overnighted me a replacement card, both with my business and personal cards. They've got wonderful customer service.