ZAB Controller described a conflict event between two IFR aircraft at altitude when attention was distracted to an IFR departure in apparent conflict with PRC traffic.

Narrative

There was a FLG departure and a jet that I was trying to make room for in the MAIER arrivals. Things were not working out as planned; so I started to vector additional aircraft. I had a SDL landing aircraft cutting across my arrival stream that I had started down to 19;000 FT. He was issued; '30 degrees left'; for traffic and the vector did not work as I intended either. When I vectored Aircraft X off the arrival; I forgot to assign him an altitude to maintain. Just about then; I had Aircraft Y depart PRC airport; as his Data Block auto acquired; he started flashing with the aircraft surrounding PRC airport. There were about 5 other aircraft that I was not working. I told him about the multiple targets in his vicinity but did not suppress the C/A's. I could hardly see what I was doing due to the amount of flashing; I ended up highlighting aircraft to see what was going on. At that time Aircraft X asked what altitude to maintain; I assigned 23;000 FT. He started to flash with Aircraft Z who was out of 22;000 FT. Aircraft Z was then given an additional left turn for the traffic to go further behind Aircraft X. At the time the flashing caused by Aircraft Y's departure; took most of my attention and covered up the rest of my traffic; he was flashing with an aircraft that PRC Tower was working. Maybe something could be done so that I know what the tower has issued as far as traffic goes.