[regenbogen bird]

hey guys sorry this is gonna be long but its kinda important got some exciting news and a few questions ok so iwas at my bfs house and his grandmother got a call it was from a friend down the road but g ma wasnt there so i took a message it was that she needed to find a home for 2 tiels they were found in one of her friends apartments (she was a landlady and the family moved out leaving the 2 tiels and a parakeet ) she already found a home for the parakeet but she needed a home for the tiels i jumped right on that i talked with g ma and she didnt want anymore pets i asked my mom about having them and she was fine with it so i called the lady back ( i told her i would after i talked things over to make sure it was ok for me to keep them) and then i arranged to see them last night theyre so beautiful! she was telling me that the orange in their cheeks had just come in and they have eggs! i saw them theres at least 3 this is their 2nd nesting the 1st round only one hatched and 2 eggs were thrown fomr the nest but this time shes leaving them alone totally they were laid about a week n 1/2 ago we are waiting for them to hatch (or watever happens) to move them but she wants them to find a new home soon so i am taking them in but i have no experience with baby birds and i have no idea how to get them into my house we want to leave them all in the cage which is huge and thorw a sheet over it and transport it to my house ( 1/2 mile away) then up 2 flights of steps to my room the main reasons for her parting with them is that she wont have her house warm enough in the winter and shes not the best bird person shes only taken them in because they needed a home fast horrible conditions like dirty laundry and diapers piled around the cage and filthy cage shees taking great are of them but with winter in ny coming and a new granddaughter life is not the fit the birds ok so when the eggs hatch or not we are going to let them fall into routine with the babies for a few days and move them to my house i know this isnt the best idea but they need to go soon we just dont want them to kil this batch of eggs or have them rack in the move she doesnt want to move them to a carrier box beacuse they would freak out in that strange environment and might abandon their babies i odnt have that much experience with moving in such fragile condidtions so could someone please help me if this isnt enough info could u ask some questions that u need to help with the situation all help is appreciated sooo much