(use google translate)
Try google maps to see which city buses or trams will be able to take you from the station to your hotel
If he'll decide to stay in one of those 6 hotels which were mentioned earlier taking a tram or bus is not necessary. Even if he want to stay in Campanille or Ibis he may walk as well (unless he has lots of luggage). Then he can take the tram line along Kilińskiego street (the 2 way street in front of the train station Fabryczny). He has to take tram line nr 1,4 or 5 heading south, get off at 3rd stop (at Piłsudskiego st.) and he has the best shortway he only can get. But note that if you have really lots of luggage (more than 48 dm3) you may need additional regular ticket.
3 tram stops is less than 10 minutes so I suggest to buy 10-minutes regular ticket (bilet normalny dziesięciominutowy). Cost 1,70 PLN.
Oh and one more info. You can change trams/buses within one ticket time. So if you decide to stay in Ibis and take a tram, you may take one more tram to get off in front of Galeria £ódzka (a shopping mall which is is vis-a-vis of Ibis hotel). So 3 stops by 4,5 or 1 line, then get off and change the tram for every line heading west (14,8,10) and get of at the 1st stop (Sienkiewicza st.)
If you'd like to use tram or buses more frequently it may be useful to print a map of lines.
mpk. lodz. pl /files/ tramwaje.pdf
For daily buses:
mpk. lodz. pl /files/ dzienne.pdf
For night buses:
mpk. lodz. pl /files/ autobusy_nocne_od_03_12_2007.pdf