As a seasoned muso, you've realised that on stage, little mistakes can often be made, but covered up successfully. Either that or blame the bass player.
You also realise that when a recording has been made, it's there to be listened to over and over, so any glitches will get picked up. What you don't appreciate is that any mistakes you make while recording, especially on today's digital equipment, can be rectified easily - and no-one else will know!
Just play through, and after, spot the mistakes, and re-record that one note, one bar, etc. Yes, there are studio session guys who will put down a dozen perfect tracks every time, but us mere mortals use editing facilities to get the same sort of end result. It takes longer, admittedly, but often there's no pressure on home recordings. Only from inside yourself, when you keep thinking 'gotta get it perfect'. You haven't! If you do, what a bonus, but otherwise, keep recording, and with a lot of desks, you can do multiple takes, and even patch bits from lots together to make that perfect recording.
Go into a session thinking 'it won't be perfect every time, 'cos I'm human', and the personal pressure will lessen. Obviously make sure the parts are learned, but then, apart from the time and effort factors, something good will come out.
You ask about one take, or bits, and the answer will be both, probably with more emphasis on the latter, unless you ask an old pro. That's how I work, hoping to save time, but philosophical if I don't.