I would be inclined to have someone drive me for the reason that if you were to be involved in an accident in the car it may be difficult to prove that your procedure was not a causative factor and it may also possibly invalidate your insurance.
It's rather unpleasant, a lot of tugging at your chest, which can be unnerving. But it doesn't hurt, and you should be able to drive home afterwards.
I'm pretty sure different types of catheters are taken out different ways. Some are more permanent than others. Some are older models that use inferior tunnel techniques. Mine is anchored very securely. If they tried to yank it out, they'd probably rip out chunks of flesh!
Is the reason you all had catheters because you had hardly any warning that you had kidney disease? I has plenty of warning and have my fistula ready to go when needed