Maxine's is a tailoring shop near 95th and Antioch between the Oak Park Mall and old Metcalf South areas in central Overland Park - call her first for her availability for a fast turn around, she's occasionally got more work than she can handle. She may be the best in the city - and she's honest and reasonably priced (something lacking in many alteration shops).
8924 West 95th Street
Overland Park
(913) 341-2534
If that doesn't work for you or she can't get it done quickly, there is a shoe repair place in Rosanna Square at 119th and Blue Valley Pkwy that does alterations also, and they do MUCH better alterations than they ever do even a simple shoe repair . . . I don't have that number handy, sorry - but they are easy to find.
You might find that it may be suggested that you buy a coat that fits well initially depending on the material and the manner in which it is cut, rather than make such a drastic alteration, especially if they can't be easily raised - as it can dramatically effect the "lay" of the entire garment (I did something similar with an overcoat once, and it was never "right" after).
There are many other tailors throughout the city, I find Maxine's to be one of the best, as I mentioned.
You might also consider sending a PM to "
jeff one086"; he may have a good recommendation or two.
Good luck!