We will be in LA June 27- July 1, 2014. We want to go Universal studios, Hollywood, Beverly hills, Venice beach, etc. All the hotels in west Hollywood or Santa Monica are in the $200-300 per night range. Our budget is $100-130 per night. What safe areas should we look at staying that's not too far from those attractions. I'm not familiar with the area and don't know if staying by LAX is better. Please help.