10 days in Lodz?? Are you sure? Why do that to yourself?
As an english speaker (I can only say sorry I don't speak Polish in polish and it comes in very handy) I can suggest the following, This is how we get from the airport to Lodz.
Take bus 175 from the airport into Warsaw, it takes just under 30min, You will know to get off when you see the Marriot hotel on your right and the big Warsawa sation om your left.
Go to one of the tickets booths, If you're lucky you get a lady that can speak English, if not, Just write on a piece of paper PKP Lodz, she will then give you the correct ticket. 2nd class is not that bad and it's only 90min. You will be able to see on the boards at what time and from which platform the train will go.
Once in Lodz (train terminantes here) and you've decided to stay at the Ibis, you can walk out the station, turn right, cross the road and bus 57 will take you to Lodz Galaria, you will see it on your left, You're about 200m from Ibis.
There's also some nice hostels in Lodz if you don't mind staying in a hostel (very cheap) and they would probably be able to tell you what to do and where to go.
Hope that helps, because no matter what they say, very few people speak english, even buying food is difficult, but that is all part of the fun,
And yes, If you happen to find someone that speaks english, they will be more than willing to help!