Looking to build a system for under $5k

@audionoobie,
I believe you are getting many recommendations for an integrated amp as opposed to separates because you have stated that you are new to audio and have a $5K budget. A high-end integrated provides good "bang for the buck" and allows a generous amount of your budget to be devoted to speakers and a digital source.

If you can find a used preamp and amp within your budget, then go for it. I prefer separates, but you'll need advice when matching the components. Due to different designs in electronics, certain criteria must be followed when mating a preamp, amp and speakers, such as voltage gain, impedance, current. Not to mention, sometimes a preamp doesn't mate well sonically with a particular amp.
Even the most experienced audiophiles experiment with matching components to find the right synergy.

There have been recommendations to add a subwoofer without knowing what speakers you will have and the size of your room.
The Vandersteen 1Ci are a starting point and you may need a subwoofer, but first you'll need to audition as many speakers as you can. And also make a decision on floorstanders or monitors.

BTW, what are the dimensions of your room?

"You got 5 grand to spend so don't let others do it for you."

I agree with paraneer. There is nothing wrong with asking for recommendations, however it would be best to narrow your focus first. This like asking, my budget is $, what car should I buy? Then before recommendations, questions should be asked. Soft ride or firm ride, more performance or better fuel mileage? Do you have any dealers within a reasonable distance to visit?

I would go ice based integrated 250 watt drives most any speaker choose your brand. So maybe $1750 for the integrated
Then 1.5k for some used floor standing speakers would probably do some Paradigm studio 100 or old bw or kef or a perfect condition Psb stratus gold i
And then drop a grand on a grace 901 dac and a decent dvd/br player. I think you could have an amazing system for 5k. My biggest advice is go older full range on the speakers and ice amp integrated for the amp! Good luck!!!
Oh yeah and blow a couple hundred bucks on some decent headphones 
Akg 701 to go with that dac/head amp!

Seeing @charles1dad 's excellent recommendations triggered a thought about another single-ended triode possibility. Check out Decware's Model SE84UFO, which also has ability to drive the highly efficient Tekton Lore (98dB). At $995 new, pricing is the same as my earlier Odyssey Khartago solid state recommendation. Both companies offer 30-day auditions (except Decware has that pesky 10% "restocking" fee ... ugh). This offers the ability to hear which amp sounds best to you, using your music, and in your listening environment.