You ll get to fly the 76 only after a period of time which is I think a year minimum. Of course it will be only possible if you are based where there are 76s (LGW,MAN,BHX for example).
Now as far as base allocation is concerned this is how it woks for DEPs (not type rated).
You have to bid for it and this will be allocated by seniority. Of course on date of joining all the people on your course will have the same seniority so instead the company will look at your date of birth. The oldest getting first choice and the youngest last choice. Might sound unfair for the youngest one but the ailrine industry is very much based on senirority for whatever you will bid for during your career (promotion, bases, type,..).
Also on the day of base allocation not all on the list may be available so that's something else to spoil your plans to leave near mamma's house so she keep on delivering you free accomodation, free food and laundry
. A bummer I know
As I said this is for DEPs but I suspect it won't be very much different for CEPs
Good luck all