At least at BA you would have a number of years of working weekends and then you might have more control over your life. Something you will never have at EZY.
Your command at BA (after x years) would at least be in London. Not something you can guarantee with EZY.
You're not LHS yet so why not apply. Life is too short for regrets and who says EZY is going to be here for the next 20 years anyway?
BA offers better conditions once the initial pain of being junior has passed.
A good balanced post by Dutchjock, albeit I guess they are single and young!