I've done it both ways. Early in my career, I followed some coworkers to a new company. I was a couple months behind the others. The perception at the old com

I've done it both ways. Early in my career, I followed some coworkers to a new company. I was a couple months behind the others. The perception at the old company was that everyone was poached by one of these coworkers. They got a cease and desist letter from the old company lawyers. I told people then but wished I hadn't. Everything turned out fine for me in the end though. The next job change I had, I didn't tell anyone where I was going. I was a little scared from the last experience. Many people asked, and I politely told them I would share after I'm settled in. It was a cross country move and I didn't feel that there was any benefit to sharing where I was going ahead of time. The work environment I left was a little dysfunctional at times, and I didn't want to take any chances of someone sabotaging me or creating extra noise or rumors. Then in my last job change, I had built good working relationships and felt comfortable sharing, so I shared freely.