Planning on interviewing in April/May, when should I flip my LinkedIn status and start talking to recruiters?

I'm prepping for SDE2 interviews. This will be my first job switch so not really sure how the timelines typically work. When should I change my LinkedIn status to open and start taking calls with recruiters? The only one I've talked to is G (they emailed me last year when it wasn't a good time for me but kept in touch) who I told I'd interview in April/May. - 189TC @ 2800 stock price - currently L5/SDE2 - 2 YOE