Greetings elfn and welcome to the underwater world and to the board.
You are going to get 2 basic types of replies to this, so i will try to sum them both up and maybe get you a decent reply right off the bat, but as I am typing, others may post...
First type: The camp of 'Do AOW now to get some more time with an instructor to help you'. if I understand you correctly, you have just finished OW and are looking to do some diving - you really don't know what you don't know but you are asking questions - so that is a good thing. If you take AOW now, just remember that you are paying an istructor for their time, use it wisely. Ask EVERYTHING you can think of, ask them to help you with things like trim, bouyancy, hovering techniques, gas management - you name it. This is YOUR time with them - make them earn you money. The good ones will enjoy it and you will get a LOT out of it.
The second camp is going to say, You should dive some more first, realize what you need to work on, and THEN go AOW to address specific issues. Then you can ask very specific questions to that instructor and get specific answers. This is also a great idea so your options are honestly one of personal preference.
Basically, the most important thing is to USE THAT INSTRUCTOR. Do not let them just give you the 4 or 5 dives, and say, here's your card - get them to work for you.
As far as the deep speciality goes, perhaps you should see what is in the first 100 feet before going for the next 40 or so? Get comfortable being in the water, managing things and appreciating the shallow world - or, if you are already comfortable, then hey, go for it.
Again, personal choice - In my opinion and MY experience, I was not ready for deep until I had done several more dives - but I am different than you.
Good luck with whatever you choose. And again, welcome.