
I have I am pretty sure, met a very similar cross - I also have two lurchers who are predominantly bedlington x whippet.
You are likely to get a very VERY clever dog who has a predisposition to picking stuff up and carrying it about, and can and will hunt by sight as well as by scent.
I think you have a great home to offer a pup - what I want to know is are you mentally prepared for this puppy.
If you pick this pup up soon you do only have a couple of weeks (that socialisation window really closes at nearer 14 weeks for most breeds) to get in a lot of socialisation/habituation, so be SUPER clear on what that means because a lot of people forget a really important element here.
Socialisation/habituation means pairing all those experiences, meet people, being in various situations and locations, with a POSITIVE experience, ie, super yummy treats.
Too many people expose their pup to loads of people, other animals, loads of different environments and situations but forget the positive association with something great like the treats - what happens then is the pup appears to handle all this stuff absolutely fine, becuase most pups will, and the person assumes that it IS fine as no fear response is seen... but later on in life the pup actually has no positive experience in the 'database' tofall back on to tell them 'hey you did this before, its all cool'.
The reality of socialisation/habituation is going to be that the pup comes EVERYWHERE with you, you make trips to the train station the bus station the supermarket the school... and every where you go you are armed with FAB treats and you are hyper aware of ensuring a good experience and of course preventing a bad one (which may mean making a sudden exit from somewhere, or being assertive with someone and sayin g'no sorry you cannot pet the puppy'... be ready for that!).
My puppy, as a comparison for you, is now in her 16th week.
She has:
Ridden in the car too many times to count.
Supermarket carpark,
supermarket foyer (I asked permission)
Poundstretcher
Evans clothing shop
Argos
Vets
Local pub
Less local pub
Train station
Builders merchants
Bus station
Busy road junction
Local commons
Off lead walks with other young dogs
Off lead walks on her own
Off lead walks with adult dogs
Friends house
Sisters house
Dads house
Training hall
On lead walks around housing estate
Motorway service stations
Dentists waiting room
Local rescue centre (i had to go there for work!)
She has met:
Old people
Small children
Medium sized children
Fat people
Skinny people
People of different colours (turkish, chinese and somalian)
People with different accents (ditto the above, polish and romanian)
Pushchairs
Prams
Wheelchairs
Mobility scooters
Kids on scooters
Kids on bikes
Motorbikes
Lawn mowers
Hedge trimmers
People on horses
Horses
Cattle
Sheep
Cats
Rats
Snakes
People half hidden by counters
Other dogs in pubs
Other dogs at training class
Dogs she can play with
Dogs she can't greet.
People she cannot greet.
People she can greet.
We've also made a point of taking her to places in the dark as well as the daylight, have other (trusted) people handle her, touch her all over, pick her up, leave her with other people for very short periods and crate trained her so she can be left alone in the car (max 1 hour so far). Shes also ok to be left in a room in the house whilst we are elsewhere in the house and soon we will introduce leaving her in the house with the other dogs whilst we are outside the house.
All of these experiences have been backed up with super high value reinforcers (liver treats mainly!).
This is on top of her training - she can sit, down, stand, has the beginnings of retrieve, has a fabulous recall (shes a scent hound so this is our priority!) beginnings of a stay and the start of walking to heel (hard for me as I use a wheelchair). She's also just about stopped play biting really hard, understands up, off, and wait and I am now introducing platform work to teach her to assume various positions around my wheelchair.
Even though I am a trainer, I decided to take her to someone elses training classes to be sure I wasn't missing anything or being blinded as to her qualities!
The other thing I would be concerned about is play biting - you have small children and they find it VERY hard to cope with the idea that the cute puppy bites HARD and it is likely yours will. Its also pretty much impossible for small children to do what is necessary to address inappropriate play biting, which is to stand still and redirect the pup with a toy. So you need to have a good plan in place to supervise both kids and puppy without isolating the pup or the pup missing out on your company or attention.
I would also, no matter what you've read elsewhere, strongly encourage you to have pup sleep IN your bedroom with you until they are housetrained and confident. Once they are dry, and confident, you can teach them anything you like regarding where they sleep, but, the distress caused by forcibly separating them from you to sleep alone at night is a huge contributory factor to separation anxiety, it also impairs their ability to learn, and predisposes them to being nervous and reactive in later life. It also makes house training harder and slower!
I hve never yet heard of someone rehoming a dog because the dog needs to sleep in their bedroom, but i could show you hundreds of dogs that have been rehomed because they suffer separation anxiety, reactive nervous behaviours and/or are not reliably housetrained. :)