Have you and your wife asked the girls what they want?
In my experience, the kids most want stability and routine. My step kids always had a room at their mothers house and a room at our house and theoretically they could chose to stay wherever they wanted (their school halfway between each), but they generally stayed at ours. At the most they spent one night a week at their mums. Perhaps an agreement where they had a week with you/week with their mum or even a fortnight at each place?
It is unlikely that a child psychologist or equivalent would agree that changing houses every night is in the best interests of the kids – perhaps you could take that route and get some advice from a professional about what would be in the best interests of the girls?
Take care of yourself.
V
Never make someone a priority, who makes you an option.