If renting a car isn't an option, simply hire a driver. Lots of competing limo companies around at rather reasonable prices.
I prefer the western side of LA for the much cooler weather. Santa Monica and Venice are great to walk around in, lots to check out. Nice beaches over at Marina Del Rey and Playa Del Rey, away from the touristy crowds. Great shopping at Fred Segal, and Abbot Kinney is a nice street to browse.
Then head over to the East for more shopping on Robertson and Melrose in West Hollywood. A must-see is Kitson, a store that plays on the whole celebrity culture of Hollywood - they sell a lot of cough but a lot of it is rather quirky and entertaining (eg Team Jen and Team Brad t-shirts when the couple split up). More shopping at the Grove, a huge outdoor's shopping mall. And of course Rodeo Dr for the usual big name boutiques.
Whilst you're at Hollywood, queue up for a hotdog at Pink's! This is quite the LA institution, having been open for over 70 years. The queue can be rather long, 40 mins when we were there last Sat, but boy they're great hotdogs! (pics on my FB) There can even be queues at 3am in the morning when actors pop by for a quick snack in between takes.
I don't like theme parks either (too hot and crowded) but tours of the sets at Universal Studios (eg Wisteria Lane) can be rather good fun if it's your first time in LA.
You could then conclude the evening by schmoozing around Sunset in an open-top limo - this is better if you're with friends of course. Trousdale is a trendy, current It spot to be seen at.
Other must-eats/drinks:
- The Counter in Santa Monica - great burgers
- Cecil's in West LA - fab ribs (and look at the wine menu for a chuckle - something about a down-to-earth home food place, albeit owned by a producer, serving a $1450 bottle of wine

)
- The Standard in downtown or Sunset: v good coughtails
- StK in Beverly Hills: fab steaks, followed up by great coughtails and the DJing is top class. Super trendy to boot.
- News Room Cafe in West Hollywood: for the brekky, and celeb spotting.
- Edison in downtown: some of the best mojitos, historic theme 1806 stylie (it's a refurbed early 20th century factory), generally yummy coughtails made by the best bartenders in the world
- The Other Room in Venice: good wine and beer place on Abbot Kinney
- Palomino's in Westwood: pizza and cheese
- Alibi in Culver City - Mexican/Korean fusion, try the Kogi tacos!
- Tanner's in Playa Del Rey or Culver City - reasonable coffee by Stateside standards
As for hotels, really depending on where you want to be of course. I usually stay with friends in Playa Del Rey or West Hollywood. But if I stay at hotels, it's usually the Huntley in Santa Monica, or over in the East I have 2 Ws to choose from (Westwood and Hollywood).