If you're not in USA I think you should be safe, otherwise use Tor
The police is not going to waste their time on you. I mean you might not be "serious" about it like 99% of the people who search on google about suicide. You're definitely safe.I have Tor, but Tor in itself without an VPN is actually not safe enough.
https://protonvpn.com/ without a doubt. They're shaking up the VPN industry, they have assets and skills that many do not and are showing that in their infrastructure. e.g. secure core.
They do offer a free and a trial period, but I recommend paying as it's worth it in my opinion.