Oh I see. Actually I don't even have enough space to keep more bunnies!
Though I'm looking for a trustworthy vet but will spaying the doe now be safe and stop her from giving kids?
When she gives birth first two weeks babies will stay in the nest so no problem but after they open their eyes they will be exploring territory and you will need to limit their space to one large cage so they can stay safe there and they will also pee&poo a lot. But still until they are 6-8 weeks they will eat their mother's milk and while they are still small and can stay all together it's again no hassle for you.
Around 6-8 weeks they will start eating solid food and be prepared they will need lots of food, and also mother must have unlimited high protein pellets during her pregnancy and while nursing so she can produce milk to feed them. That can make up to 2kg per day if you have say 6 babies. That can get expensive. And you can't limit them on food because otherwise they will grow weak and prone to illnesses. She will have also recover so that' a lot of food actually, unlimited hay as usual of course.
When they are between 8 and 10 weeks they can still stay all together with their mother and it is good time to find them new homes. You must act quickly because when they are 10 weeks you will need to separate boys so you will need another cage or playpen, but make sure they can't escape.
Between 10 and 16 weeks boys can stay together (if you are lucky, because some boys will mature early and can start fighting for dominance and spraying walls and humping even when they are 9-12 weeks old, others can stay together up to 5 months, but male rabbits unneutered will fight and can damage each other so you will need to separate them so you will need individual cages for each), girls can stay with mother up to 5 months (again, if you are lucky).
So, if you are able to find new homes for the babies between 8 and 10 weeks, maybe 12, you won't need extra space. Advertise them when they are 6 weeks stating that they are ready to go in two weeks when they are 8 weeks. Rehome boys first. But also do home checks and talk to people rehoming because there are many people getting baby rabbits with bad intentions, they won't tell you they are going to feed their snake with them or use as a dog bait but check their history etc you don't want this for your babies, right?
If you won't be able to find new homes so quickly you will have to buy lots of food they will have to be on unlimited high protein and calcium pellets until they are 4-5 months, then you can start reducing pellets and transfer them to lower protein adult pellets.
Hopefully they will be all healthy and you won't need to pay vet bills.
If you can find a vet who will spay her now you will only pay for that and won't have this min 2 months long baby adventure.
Oh yes, and cleaning after 6-8 fast growing babies and their mother it's lots of fun, every day and maybe twice a day, they won't be toilet trained yet so be prepared
Raising babies feeding unlimited and you will need to buy lots of absorbing litter and hay as well, it will cost you more than spay bill for sure.
I contacted a vet who wants to examine her condition then it'll be decided. I am so nervous 
