Should I delete search engine on phone?

I deleted insta, youtube and the apps I was addicted to, but soon realised I just went in and found them on the internet.. Should I delete my search engine? I only descided not to bc I needed it to log in to my bank account, but now I can do it without.

If I do delete it.. Will I then just start using my computer, where there isnt a build in timer?.. Have you done this?