I'm not sure if there are any Maids or Nurse temporary services in Doha. Hope someone can help you with that. But I think it would be cheaper to get someone in the family to help even if they are back home, to come to Doha for that period and stay with your siblings, it's cheaper for you and would give your family member satisfaction and hassanat.
But if you cannot find anyone, then Allah is clear on that subject: Hajj is only compulsory if you CAN do without hindering yourself in any way.
Good Luck