We had a relatively limited budget so did alot of driving and didnt go with a pack but it was a blast finding evrything.
Try DFS in San Javier- they have a website so you can google them.
We found Polaris Homestyle were relatively competitive for us when you buy individual pieces rather than a pack
Gines Navarro on the road to Mazarron is good for all kinds of bits and pieces and theres a large garden cente next door that has great outdoor furniture.
Plumes4furniture in Mazarron has a good range of furniture and a bargain basment that has furniture, lamps, pictures.
It just depends if you want a pack or not but we also found Real Domestics( google for site) to be very good for all the kitchen appliances- competitve prices and delivered, fitted and removed the packaging. Quite quick delivery and staff speaking english.
IKEA's good for blinds and curtains and bits and pieces for the kitchen but so are alot of the supermarkets and Leroy Merlin
After all that you need to stop or you'll have to move some of the furniture out onto the terrace just so you can get in the apartment!
Good luck