Hostels:

http://www.ashfieldhouse.ie/ 
http://barnacles.ie/
http://www.littonlane.hostel.com/
http://www.abbey-court.com/  (next door to litton lane)
http://www.gogartys.ie/accommodation/ (because it is in temple bar, the reviews are full of people complaining it is noisy at night time but it is ok for you because you are deaf! =P)

All of these hostels are recommended because of their location..
To view the map of all the accomodation in Dublin city centre, go to http://www.hostelworld.com/findabedgrid.php

Budget Hotels/Guesthouses:

Travel Lodge (Rathmines) http://travelodge.ie/hotel_locations/dublin_city_centre_hotel.474.1.10170.details.html
http://cassidyshotel.com/
http://www.wynnshotel.ie/
http://www.dublinevents.com/dublin-hotels/maple-hotel.php
http://www.fitzwilliamtownhouse.com/index.htm (Breakfast not included in price)
http://www.ripleycourt.com/index.htm
http://www.fleethoteltemplebar.com/index.php (Fleet Street Hotel recommended for location as it is in Temple Bar and very close to shops/bars/restaurants/shopping/card club, Breakfast not included in price)

Hotels:

http://www.marriott.com/hotels/travel/dubbr-the-shelbourne/
http://www.gresham-hotel-dublin.com/
http://www.royalhoteldublin.com
www.failtehotels.ie -Email Paul McLaughlin and he'll be able to suggest a hotel based on your budget.

To look at all available options to you, visit :::: http://www.hostelworld.com/