If you have only been playing for half a year or so, I'd say, don't even go with lessons yet and see if you can learn it on your own. I see that it says you only have hit a ball 3 months ago.
Right now, you might be interested in investing in a good all around pool book, and learn good fundamentals. With correct fundamentals is the way to go. I don't care if you have the best cue in the world, your fundamentals are important. Fundamentals are the way to consistency.
Learn to play the game right. Stick with what you are going to play with, because it is almost impossible to switch from LD and regular maple. So make up your mind.
If you have only been shooting for this very small period of time, like they all say, table time is what you need. If you have only been shooting half a year, I doubt you have got a feel for the game unless you are a natural.
I have been shooting for about a year now, and I can't say I have gotten a feel for the game yet.
Here are the following items you should need as a beginner:
-Your own cue that is comfortable to you (you will learn what you like better the more you play, I started with a 13mm, now I'm on a 11.75 OB2 and I would never go back to a 13mm)
-A decent case to protect your investment
-Tip maintenance tool
-A break cue for consistent breaking (I think a break cue is essential, but a bar cue can do)
-Pool books
-A measle CB would definitely help you see what sort of english you are putting on whitey
-A LOT of Table time
-Watch "GOOD" players play
-Watch and learn to analyze how the pros play (youtube that ish)
hope this helps man, good luck nonetheless
Happy Shooting!
Chino