Ditto on the "why does anyone want to see Hollywood" theme from me; I lived in LA for 11 years and rarely went anywhere near "Hollyweird." We saw the Tarzan show & movie at the El Capitan a few years ago, and the subway wasn't finshed all the way through back then; it only went as far as Hollywood and Vine. We stayed in Anaheim, and parked at the Metrorail station in Norwalk and took the train and subway as far as we could, then walked to the El Capitan. Wouldn't want to do it again! Best part was all of the memorabilia stores with scripts, movie posters, etc. DH LOVED going in those stores.
HOWEVER,
Look on the internet for a company called Starline Tours. I believe they can pick you up at any hotel in Anaheim, if all you want is a bus tour. You may not need to relocate at all.
If you do relocate, the Universal hotels (Hilton & Sheraton) may be your best bets. You will be right at Universal Studios and there is a tram that takes you down the hill from the Universal Citywalk to the Metro station and you can take the train into Hollywood. However, check on the hours of the tram; when we saw The Lion King we stayed at the Hilton and getting to the Pantages was great with the tram and the train; but when we took the train back after the show, the tram had stopped running & we had to walk back up the hill to the Hilton. To get to any airport Supershuttle is probably your best bet.
Close? Don't think I can help you there. The Port is miles away from Anaheim, which is miles away from Hollywood, which is miles away from any airport. Good luck!