If you are not familiar with GoogleHome and Google Home mini, these are the speakers that are available. They are both functional and you can have either in your own home depending on your preference. The main difference is going to be in their sound quality.
The Google Home obviously has a better sound and it will also have better low notes as compared to the Google Home Mini. Another obvious difference is their size. The Google Home is obviously much bigger than Google mini. It will depend on you which one you think will be perfect for your home and the space that you may have right at your own home.