My puppy Connor is now 5mos old

The vet suggested that he be neutered at 6mos. So I decided to get him neutered and microchipped at the same time. But today I noticed that he still has his baby teeth and his adult teeth are coming in behind them. My question is...How expensive will it be to get the vet to also remove his baby teeth...the ones that need to be removed. Do you this is too much for Connor at one time?