For us, we only have one income, but it wouldn't be much different if we had two.
This is what works for us -
Come up with a sensible total you want to spend for each month.
Auto deposit paychecks into online savings account (for us, this is Amex Personal Savings)
First of the month, have a recurring withdrawal set up to move that "sensible" amount of money from savings to checking. We make sure we keep enough of a cushion for surprises and stuff.
Main reason we're trying this out is so that things like raises, one time bonuses, etc. don't impact our normal spending habits unless we make the decision to use them for a specific total. I've found that leaving all of the money in the account leads to our spending changing depending on what that balance is and that can be really tricky at times.
I agree with somebody else that it really depends on your personal spending habits. Some folks could never budget, keep everything in one account and probably end up saving enough to retire young with tons of cash. Others will need tons of process in place to help curb their spending habits.
The biggest issue we have is that my wife tends to stay out of the financial side of things (by her choice) which leaves me with the ability to purchase things knowing she'll have no idea how stupid a purchase it was

I'm trying to get her to keep up with it for accountability purposes, but we'll see.
In the end, I'd do whatever you could to make sure you live based on what you've decided is the appropriate amount as opposed to what your pay happens to be at that moment (though I understand one definitely impacts the other).