I wear Otomix for everything except overhead days. Then I wear DoWin's. The Otomix are a great cross between a wrestling shoe and Chuck's. The DoWims have a wood heel wedge thazt is designed for pressing and Oly lifts.
I now wear my chucks on ohp day. I pressed in trainers last week and lost my balance backwards while lowering the bar. Luckily it was a warm up set with 135. If it was a limit set I could have jacked my back up big time. Solid soles are very important.