The main problem with high-speed Internet in Ukraine is that in most areas (except near the city center in Kyiv) you still have old Soviet-style phone systems. Ukrtelecom, the still government-owned phone company (well, Deutsche Telekom has a stake in it) has said they will upgrade their infrastructure but they're really behind in doing so.
The option I use to trade from Kyiv is cable broadband via Volia Cable, a local cable TV and broadband Internet provider. Their site is here:
http://www.volia.com. As far as I am aware they don't have any information in English. I pay about USD 50 per month for 2 Gigabyte of traffic which is just enough for trading

. The speed is 2 Megabit, and the line is quite stable (with the occasional disconnects since they mostly go through Ukrtelecom. Please note that they do not cover the whole of Kyiv, which as you probably know is about a 4 million people city.
ADSL is available through a number of providers but I find it rather expensive, and anyway where I live in Kyiv I can't use it due to the old analog phone systems. The quotes on leased lines you received are accurate unfortunately!
I am not aware of any information in English from any of the broadband Internet providers. Perhaps that will change once the promised government reforms will finally attract more foreign investment and foreigners to live here.
I have no info on Odessa unfortunately.