I'm with everybody else; I think the oil rigs are a bit ambitious at this point. These are the things that make them what I would call an advanced dive:
1. No bottom, or no safe one. If you lose buoyancy control, 600 feet is a long way to fall. As long as you remain within the structure, you do have a fair amount of visual reference, but if for any reason you lost your composure, there is no place to settle down.
2. Current. On our two rig dives, there was fairly strong current on the first one. It was enought to make negotiating between the uprights challenging, and I hit a lot of mussels and scallops in the process. It would not be at all good to get blown out of the structure altogether. It adds a significant amount to the stress of the dive when you're managing buoyancy and current.
3. Limited visibility. On our dives, the top 30 feet were largely opaque. We're fairly used to that, in Puget Sound, but LA divers apparently aren't always.
4. Live boat pickup. The boat backs in as close to the rigs as it can (which can depend on surface conditions and current) and you have to get to it. Timing is important (timing for the drop is important, too -- you can't do it at leisure, as you can with an anchored boat). Getting this accomplished can be affected by surface conditions and current, as well.
They're GREAT dives. I'd rack up 75 or 100 dives, with some from charter boats and some on deeper sites, and then book a rig dive with a buddy who has done it before. It's well worth the effort, but do it when your skills will let you enjoy it, not just survive it.