I was in the same situation a few months ago and I wanted to reply to say you aren't alone.
Luckily my bosses let me start work an hour later each day as my body seemed to find 6am, and 7.15 (just as I needed to leave for work) a perfect time to go.
And all my accidents have been while walking home where it's easier for your tears to turn into hysterical fits of laughter in the "oh my god this is so gross I have to laugh" way.
Anyway, you aint alone. and hope you get better soon... that first day where you realise it really is just trapped wind is an amazing moment. x