Hi Thumby and welcome to Binky Bunny
With boys, getting them neutered isn’t essential unless you want to bond them, but with girls, spaying is really important as they have a very high risk of uterine cancer if they’re unspayed. Often, older rabbits have to have emergency spays after cancer has developed, at which point it is higher risk, and the cancer may have already spread.
Just over a year isn’t old to spayed, so that doesn’t make it any more risky. There are always risks with spaying rabbits, as it is more invasive than a neuter, but the majority of rabbits bounce back completely fine.
You’re right, the most important thing is an experienced vet. You want someone that has does the procedure regularly
The HRS has a list of rabbit-savvy vets by state, but I’m in the UK, so I’m not sure how good it is. You should look for someone classified as an ‘exotic’ vet. Another good thing to check is if they ask you to fast your rabbit before surgery – a good rabbit vet will never ask for that, as it’s important for rabbits’ guts to be moving all the time, but an inexperienced vet might tell you to fast them like a cat or dog.
https://rabbit.org/vet-listings/