If you have not had an issues that means yours have an adequate environment to wear down their nails properly, this doesn't hold true for everyone across the board...
I have been trimming animal nails since I was a kid, from indoor caged birds, to lizards, to rodents, to dogs, to livestock, to...
Like any animal in captivity many times they lack the proper environment to naturally 'wear down' their nails, and thus require trimming or else they can overgrow and cause issues with the toes and feet...
Yes, it will be OK, if the bleeding has not stopped dip the toes in some cornstarch or alum...
Just like trimming any 'toe nail' you have to be careful not to trim into the 'quick' or it will bleed, basically he trimmed off too much...