winch
Geneva and Basle bases are crewed by easy (swiss) who have a different contract and operate Command upgrades as per seniority rather than by merit/experience. The selection and training is identical to easyJet. If you want to end up in Switzerland I would recommend you apply for a Swiss base on entry as transferring to GVA/BSL after being with eJ for some time will put you to the back of the crew for Cmd. There is a steady requirement for GVA/BSL crews but like everything it is all down to luck and timing.
The only French bases we have at the moment are ORY and CDG but I would expect LYS to open up as a pilot base soon, it already is a base for CC.
As for your rating it does not matter to us that it is a B737, it does matter you have some jet experience and the likely hood is that you will go directly on an Airbus course even if you were recruited for a UK base. My tip is ask for what you really want but be advised there are many in the holding pool for DEP most with jet experience.
Best of luck
PH