You can do it at home if you feel confident to do it.
Make sure you have the right tools for the job- clippers the right size for budgies nails.
I had to do it with Sunny, and you just need to be careful you don't cut too high as they will bleed if you do. If Bluey has pink toes it's a little easier.
You can also have a Styptic pencil on hand for if there is bleeding.
I have to trim Jenny's beak and I always have the pencil there as the first two times I made her bleed a little. We're much better at it now though.
Practice makes perfect.
With a bit of practice, you can easily cut the birds nails. If you are new to this, maybe hire somebody that knows how, and carefully watch how they do it and also read up on it first. It is not hard to learn.