Your blocked drains could be cleared through the use of drain jetting. Essentially, a hose is fed into one end of your sewer drain and water is pumped through the hose at a very high pressure. At the end of the hose is a jetting nozzle which directs some of the water forward towards any blockages and breaks them up. The rest of the pressurised water is diverted to spray backwards and as it hits the side of the drain the nozzle and hose is propelled forward. This process continues until the drain is clear from all blockages.