Well, I have a 13" 3K display in one of my laptops (3200x1800). Running at native resolution you're gonna have a bad time because most software has been written assuming 96 PPI. Some utilities (like Microsoft Windows 8 itself) cope OK by changing the size of an inch to be much much smaller, in the case of a 4K display an inch is about 6 mm. This is entirely the wrong approach. Most applications still get it wrong anyhow. Living in a high-DPI world mostly sucks at the moment.
So, the thing to keep in mind is that you want a constant angle subtended by the display at viewing distance. A 4K display is 3840x2160, with a 28" diagonal (24" x 13") that's still about 160 PPI. To get the pixel density you're used to, you need to go to about a 45" diagonal screen. That kinda makes sense, considering it's about twice the size of a bog-standard 22" monitor. Do consider the physical footprint of the device.
Or, you can get (stronger) reading glasses.
The day they make a 60" curved (concave) 8K monitor I'll be ecstatic. By then everyone will have fixed their high-DPI scaling issues and it'll be running off my phone as a CPU. I'd still have my clicky mechanical keyboard, because that's the peak of evolution in that input device.