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You have asked how to apply for a visa for two different sovereignties. Accordingly, you will need to file two applications...
Once all of those have been completed, gather up all of your stuff and take it to the Visa Application Centre designed for your particular region (this will be identified for you when you make an appointment).
The application process for France is largely the same but you cannot use the same biometrics sample. Read the guidance first. In this case you must download the form at Application Forms. Note that they are piloting a new SMS service which you may find useful.
NOTE: You are intending to visit these countries as part of the same voyage and this is material information to both applications. I recommend doing the Schengen first and enclosing the application reference number with the UK application.