#!/bin/bash
s='"service blabla 1" 5.456
"service blabla 2" 456'
perl -pe 's{"[^"]*"}{$&=~s|\s+||gr}ge' <<< "$s"
IyEvYmluL2Jhc2gKcz0nInNlcnZpY2UgYmxhYmxhIDEiICAgICAgICAgICAgICAgICAgIDUuNDU2CiJzZXJ2aWNlIGJsYWJsYSAyIiAgICAgICAgICAgICAgICAgICA0NTYnCnBlcmwgLXBlICdzeyJbXiJdKiJ9eyQmPX5zfFxzK3x8Z3J9Z2UnIDw8PCAiJHMi