Streaming at higher resolutions?

I've finally invested in a high resolution monitor, which means 1080p content looks pretty bad, especially on a 32 inch display.

I've been using FMovies so far for streaming, but now that 1080 looks like shit on my display, it's sort of lost it's appeal. Are there any ways to have a convenient streaming setup (that doesn't require too much effort for every new movie/show I want to watch) that also supports 1440p or 4k?