You'd have to consider that if she's lived in kennels and/or at a track all her life, she won't know anything about living in a home. She won't know what a TV is, a washing machine...She may never have used a flight of stairs. If you have wooden floors, she might slip on them, become frightened and/or refuse to walk on them.
She may not have seen any other breeds of dog before and will need to be socialised with them; she may chase - or want to chase - other furry/feathery pets you might come across. Do other residents of your building have cats?
That's a lot to learn and to deal with, plus your children. How are they with dogs? Do you have anywhere you can dedicate as a 'safe space' for the dog, where she can rest and relax and get away, if needs be, from the hustle and bustle?
Toilet training with treats isn't something I've come across. You can't really go rushing over to her in mid-whatever and feed her treats; I'd read up on house training for puppies and, if you do adopt her, use those methods.
If you are working with her every day, can you introduce her to at least some of these things while she's still at kennels? Is there an office she could 'visit', or a laundry room? Can your children meet her before you take her home?
Flat living with a larger dog can be done (I do it) but it certainly isn't the easiest thing to do and you need to think and plan very carefully, being realistic about the time and space you have available for her.