The way the order is setup, it is unlikely to be lifted before April or May. You can still go and check things out, just know that it is harder to find public restrooms is the biggest issue, second biggest is you may have to rely on takeout. Of course attractions like the Zoo, SeaWorld, etc. are closed as well, although SeaWorld is doing a drive through event. For hotels, you will need to check with each hotel, but for purposes of relocation should be one of the allowed reasons (just check with the hotel directly).
Just a heads up that HOAs in San Diego are particularly nasty, so you should avoid them like the plague.