You don't even need to take it to a cleaner - and often best not to because the staff don't know what they are doing. Just leave it to hang or just let it hang in steamy atmosphere and the creases will disappear.
There is no purpose in measuring any existing garment, each tailor has his own 'cut' - it achieves the same objective but the detail is his own. This is one of the causes of mail order MTM being crap.
You may either have to compromise ". English cut: hard structured jacket with waist suppression." whatever that might mean to get something that fits or else discuss with someone such as Chris Despos how he might achieve your objectives.