My recommendation is to keep both separate. Your work phone should NEVER be your personal phone.
Use you work phone at work or on a mission. Not outside, not at home, it does not matter what your contract says, what the law says is what's important (so check locally, depends on jurisdictions).
Now IMHO both options such. Apple is closed source and Android provided by work is not customizable so you have no control over. If you want a more radically approach and are serious about privacy, reconsider both.