You can get your laundry done (normal washing&drying, ironing or drycleaning&ironing) at "Nett Gyorstisztító Szalon". Address: Tisza Lajos krt. 40. Tel: +36.62.425-057.
One portion of washing (wash similar colours together...) without ironing is 1200 HUF (about 5 euros), if you get there latest 1pm, you still get your clothes back clean the same afternoon.