For hotels in Valencia
try this link
http://www.hotelsearch.com/search/s...e&fourstars=false&threestars=true&hoteltype=1
this is a list of hotels. A cheaper option are hostels which are normally a good option but are normally in the center areas and i agree with Tony that is better to try an hotel in the outskirts of the city rather than in the center.
Cons: you must walk much more or use public transport or taxis to get a bit closer to the center
Pros:you can rest, as there will be much less noise than in the center.
Look at that list of hotels, choose some of then that looks good for you and are suitable for your budget, ask here again with your list, probably i will know where is located and if it's a good location or not.
Prices can be higher for fallas though.
If they are out of your budget, try hostals
More hotel search at
http://www.turisvalencia.es/index.aspx?idioma=EN
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http://www.comunitatvalenciana.com/alojamiento/plantilla_alojamiento.htm?idioma_sess=3
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And yes, you must book soon or you'll find that everything is already booked. And as you don't have a car, finding an hotel in the nearby touristic towns of Sagunto or Cullera seems not to be an option. But this could be an option for last hour and looking for something near a train station.
More links
pictures of streets in valencia
http://fotos.qdq.com
most of addresses have a picture, but not all, for example the address of FPM hotel and Ivanhoe Hotel and me have no picture
the nearest is
"Autopista Del Saler"
just 10 clicks ahead and on the right side of the picture.
More:
http://www.metrovalencia.com/metroval/html/home/home.asp
valencia metro, forget about buses in fallas, most lines are deviated traffic jams are terrible...
If you must go out of the city then you need 'cercanias' (commuter) trains
http://www.renfe.es/cercanias/valencia/index_horarios.html
in the map, valencia-estacio del nord is in the very center of the city just 200m of the city hall square.
And there is also an station at the airport Manises-aeropuerto but i don't know if is really in the airport or near it.
As you can see, using commuter trains, whose service is improved during fallas, you could go to Cullera or Sagunto for example and get an hotel there, the problem is returning at night, i don't know if the service is opened till late in the night all that week.
good luck with your search.