OTOH you could stay in Culver city. You are more likely to meet a Hollywood A-lister at some of the Gentleman's bars there than you are in upmarket bars in Hollywood or Santa Monica. You might get stabbed wandering around, but you will meet some interesting people, and see that Elmore Leonard side of LA that tourists never get to see.

I've had George Clooney nod to me in Santa Barbara, and briefly met Rob Lowe at a certain club in Culver City ... but no-one interesting in Hollywood.
Hopped in the car and torpe'ed to the shack
Of Shaheed, "We gotta go back" when he said
"Why?" I said, "We gotta go
'Cause I left my wallet in El Segundo"