Are there any other, more common, ways to say this?
Without wishing to sound conceited, I am the best salesperson in the company.
Without wanting to blow my own trumpet, I am the best salesperson in the company.
Without wanting to be seen blowing my own trumpet, I am the best salesperson in the company.
Modesty aside, I am the best salesperson in the company.
While it may sound a little conceited, I am the best salesperson in the company.
Though it makes me blush to say it, ... (Somewhat girly)
Honestly, ....
At the risk of seeming conceited, ....
At the risk of sounding conceited, ....
Others might say that I am ..., but I couldn't possibly comment.
In all modesty, .... (A little different)