I am your height and have the same inseam as well.
I had a problem lifting the front when I started, then briefly the rear when I first got my new bike.
Things that have helped me are higher cadence and getting lower.I now start my jump with cadence around 95 and run up to 125 - 135 like someone else mentioned.
As for getting low, I am running more seat to bar drop this year which means I stay on the hoods a lot of the time but the drops are perfect for sprinting. Think about getting lower instead of forward (like Cav... except bigger...and slower

)
CDR's advice is the best though - just do a lot of it.