FrogCruiser

If we fly into LAX about 2 pm the day before the cruise where would be a suggestion to stay that night? Would like a safe (relatively anyway) nice place with some activity in the area such as shopping, restaurants, etc. I'm guessing if it was between LAX and the Port of Los Angeles the total shuttle cost would likely be similar to just taking a shuttle between LAX and San Pedro Port. Also post cruise what would be a reasonable flight time for the return home? thanks for any info.