It is true that an entrance does say a lot of things about your character. As far as my performances go, I take the quality of my performance very seriously, but my entrance is generally characterized by a relaxed/yet professional attitude (as far as I've been told).
A typical entrance for me:
Door Opens
Walk out and acknowledge applause with a smile and nod as I walk towards the Piano
As I arrive at the piano, I turn to face the audience, smile, and I thank the audience for their presence with a curt and respectful bow.
If there is no program, I will announce my name the piece and sometimes I will give a brief abstract of the piece.
My posture is refined but not pretentious and my strides are always long, confident, and brisk as I walk to the piano. I'm a long-strider by nature.
My appearance is ritualized before a performance. Everyone has their pre-performance ritual. Mine is making sure that everything about the way I look is perfect. Clean shaven, hair properly styled. My suits are all tailored perfectly to be slim and comfortable, and very modern. My shoes are shined/cleaned before a performance. The trouser has minimal break, the jacket contours the lines of my torso. The arm holes are high and the sleeves are lean. I'm a fashion-nut and I did a short bout with modeling, so I'm very comfortable in a fashion-forward fitting suit.
I like to ease the formality of my performances with my outfit. Instead of wearing concert black I might wear a charcoal or medium/light grey suit with a lavender shirt and deep purple tie. Or a shirt that's barely pink with a pink tie. Sometimes I'll lose the tie altogether and unbutton the collar button of my shirt. Sometimes I'll go all black, with a black suit, shirt, tie, and shoes. Or maybe I'll add a shot of shine with a silver/white tie or pocket-square.
My reasoning behind all of this is to put the audience at ease. Yes, they are attending a classical performance, but that doesn't mean they need to be stuffy. If they are relaxed and at-ease, they are more likely to enjoy the performance. I want the audience to be comfortable with me and everything about my entrance, my appearance, and my stage-presence (as I have been told) is tailored to do so. But at the same time, all of this fits with my personality. The personality you see on stage is the personality that you see when you have a normal conversation with me.