If you need any help, I am present in this city ~ the best place in Poland (arguably).
Lodz, the best city in Poland?????????? Have you gone stark raving mad? Have you ever been to ANY other Polish city outside of Lodz???
Lodz is a hideous post-industrial wasteland. There is only one vaguely attractive street in the whole town.
Well you did say "arguably", so this is me starting that argument...
Concerning Internet. Should be no problem for a foreigner to organize a broad band link, though it might take a few weeks. The main difficulty is that the big Polish telecom company - TP SA - is a bureaucratic nightmare. Everything has to be signed in triplicate. You'll need to show your property lease agreement, or have to get your landlord to sign the agreement.
Internet in Poland is also relatively expensive and the quality of the workers who carry out installation is very low... all the good ones have left for Britain. You can get some good deals only if you sign up for 24-36 months. (see neostrada.pl)