While it's impossible to say that remodeling is always better, there are quite a few reasons to favor remodels and renovations over buying new and moving.
From a value perspective, a newly remodeled home can eliminate all the lurking problems that drag down the value of a home over time, resulting in better value than buying.
You can also get everything you want for every room from a whole-house remodel. When you're shaping an entire house around your vision of a perfect home, there's no need to compromise on features that aren't quite right because the rest fits.