My 1st suggestion is to purchase a copy of "The Complete Guide to High End Audio" by Robert Harley. Begin with reading the first couple chapters.
Have you heard the Vandersteen 1Ci speakers? I agree they are a good candidate for your proposed system, however you won't know without a listen. Regarding audio shows or dealer demo, I believe one should use then to get a better feeling for what sound qualities one prefers in a speaker than which pair to buy. This is especially true for one new to audio.
At your budget, and you can put together a very nice system. I agree that you should search for speakers that are at least of moderate sensitivity, 88dB and 8 ohm, therefore not needing excessive power. However I don't agree that it is necessary to spend half your budget on speakers. SPeakers have much to say about the character of a system, however the quality is determined by the balance of all components.
I also believe you should purchase an integrated amplifier. There are many of recent vintage that would serve your budget. I would look for a used, however not too old one in the $1000- $1500 range. Are you willing to purchase used?
Regarding the digital source, do you have a collection of CDs? Are you looking to stream audio off internet radio?
Yes, I have provided more questions than answers, however to best help we need to know.
Take your time with this and I am sure you will be end up with a high quality system.