Hello:
With Covid, our travels have been limited so my comments and recommendations are dated.
In Valencia we were satisfied with our stay at the Casual de Cine Valencia. It was clean, quiet and inexpensive. We found the location to be great. Slightly off-putting for us was the giant 007 blowup poster in our room. We chose to breakfast out but the buffet looked fresh and varied.
If you are thinking of a mini-excursion outside Barcelona to the Costa Brava, Alt Emporda area, I highly recommend Nui de Sol in Palau-Saverdera. There is a review on this site. To enjoy the area a car rental is necessary. However, if it is your first time in Barcelona you will, in all likelihood, find enough to occupy 2 weeks.
Dennis