First "audiophile" system, now what? Suggestions for best "bang for the buck" upgrade?

My room is rectangular 14 x 19 with one short end open to a large kitchen. The speakers are near the corners of the far/small end, out from the walls. The room is carpeted with drapes and leather furniture. Speaker placement/sound seems very good, sound carries well, the length of extended space and sounds rich in the 'golden triangle', nice range and imaging. But it is a "family" room not a dedicated music space. At the moment, kids and wife are tolerating the intrusion but I don't think I can change the layout much. I was thinking since this is my first real system that others more knowledgeable than myself would look at what I have and say.."well the first thing you need to do is....

Thanks for the response. The DEQX looks like a useful addition but I think my system may not be worthy as is. I know my needle is rather basic entry level, so I was thinking I would start there. Later, if I had substantial cash, I should look for a good speaker match for the Vincent. Any suggestions?

Wow, I went away for few days and got flooded with advice. Thanks so much. Mostly reinforced what I suspected are best next steps. So here's my plan:
1. Better needle. Swap Ortofon Red for Blue (nude elliptical). The needles use the same cartridge, so the needles can just be swapped. Many folks report that the improvement in sound is very noticeable - for $150 - looks like a bargain to me.
2. Should say better speakers next, but instead I think I may be able to improve the power supply. Much of this I think I can DIY. It may be a modest improvement but may also be a modest expense with free labor.
3. Now better speakers. Problem is the Martin Logan 12s were originally $1500 a pair and I got them new (discontinued) for $400. I'm guessing that I would have to spend upwards of $2500 to get speakers that would sound substantially better, unless they are used and I'm leery of buying used speakers.
4. Better turntable (VPI?) after the novelty of the ProJect 1 Carbon w/acrylic platter wears off. It has issues with motor hum, but it looks cool.
5. High end cables/ wires are last on my list. When my components are better matched, and I have a dedicated listening space that I can customize, maybe then my ears will hear the effect of better cables.
6. I think I will be growing into my amp Vincent V60 for a long time. I think I was lucky to find it for auction on Audiogon. Self biasing 60w tube amp, TAS integrated amp of the year(2010?) for $1200. I think it is the best piece in the system by far.
So the needle upgrade is a forgone conclusion for the most pressing upgrade; what I really need to know is if anyone has experience finding a good speaker match for an integrated tube amp such as the Vincent V60 so that I can start dreaming now? Perhaps this should be a new thread?

Thanks for the compliment, I needed that. I put together this system over the last 6 months and the whole proces has been wrought with anxiety and second guessing. I don't have the luxury of a brick and motor store to listen and compare equipment, so all of my ideas came from looking at what was listed on Audiogon, then reading reviews, which then mention other equipment, so maybe something else is good, so read about that, then read a conflicting review, then try to read between the lines. Hours and hours and hours of late night research (I'm guessing most here can relate to), then finally having the guts to make a buy and hoping when it arrives that you get what you thought you were getting. 

I do know that my records and CDs (and FLAC files) sound very, very good. Well mastered vinyl sounds as good or better than digital files on this setup, and it all sounds really, really good and looks cool (which is part of the equation for me). So I'm happy......but what about a better needle?.....then better speakers?.....then better tuntable?...then power supply, then cables, and DAC?... Once its is sounding as good as I've got right now, then the rest will be just more fun. And money.

Thanks for all the good advice.