I used to use Palmolive, but tried Dawn and stuck with it. I dilute some in a spray bottle and clean my counters and table, stove with it....or anything other surface that needs a cleaning. I put a tiny bit in a bucket for washing floors. I use it to remove stains from clothing, etc...
I've tried some of the different scents and really like the Dawn Platinum for dishes.
I just avoid any of the anti-bacterial ones. Those (in any brand) just promote anti-biotic resistance, so I avoid anti-bacterial anything in products.