The 1000 bux only gets you the 24 incher that is the starting price
46 will probably be 5-700 more,,, honestly my home system doesn't show off any wires (components in the basement while tv and speakers hang on wall in livingroom above) - only cost me a fraction of that.
even at most furniture stores you can find an entertainment stand that can hide all the wires for like 600, add a home theater in a box at 400 dollars (this would be a 5.1 solution, not the 2.1 IKEA gives you) and a tv of your liking (even up to 60 inches or more) will be a better solution.
the only difference will be is the 2 speakers sitting behind/beside your couch for the surround sound