However, I really implore you: by all means link statically to everything else, but leave libc dynamically linked. I'm not aware of any reason not to link libc dynamically, and not doing so leads to a ton of problems.
Problems also arise if one uses functions that use NSS (eg. getXbyY functions like gethostbyname). In which case, the GNU C library will try to do a dlopen on several libraries to find the right one.