PQC algorithms have been in development for quite a while, and NIST has even selected 5 or 6 of them as standards. There are a few implementations out there for some languages, including FIPS compliant ones. MS and Google have been testing theirs for a year or two, Apple is more tight lipped but they're releasing theirs in some limited form sometime this year. With NIST acceptance of some of them, companies may or may not have to alter theirs to match the finalized accepted standards, but they are largely ready.
The sooner things can move to new algorithms the better. Even if the ability to break the current algorithms isn't widespread yet, "harvest now and decrypt later" is happening. Certainly by large companies and government agencies.
The real breakthrough will come once the new ciphers and algorithms are implemented for HTTPS and web servers and for hard drive encryption.