Look I understand and I get why it's important to land a job before you quit. So that financially you'll still be alright. Yet there's a lot of issues that occur when you try to do it that way.
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You're still stuck at the job you're trying to leave.
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You're still likely to be miserable at the job you're trying to leave.
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You need to make time to go to the interviews DURING your shirt.
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You start losing the motivation to leave if you get content with just “toughing it out”.
If you really can't take it at your job anymore you should just quit. If you're that worried about finances try to save what you can before you quit.