Do the same thing the police do for all other identified suspects with warrants. It isn't as if police normally actively pursue people with arrest warrants, they wait for the people in question to make a mistake and turn up the warrant when they run their information. If you are wanted by police the vast majority of the time they don't even check your home or work.
They wouldn't spend 6 million camping the embassy in hopes to enforce a warrant on a no name serial rapist who had allegedly done his deed IN LONDON. I've known people who "evaded" the police for years on felonies in the US by simply by not getting pulled over. Worked the same job, lived in the same residence, took no actions to hide whatsoever.
Police don't have the manpower for that sort of tv style active pursuit. The same is true of investigation. They typically interview whoever, gather evidence at the scene, run tests with a cost factor appropriate for the crime which generally means no real forensics or lab testing, sorry CSI, and wait for some kind of information to come to them. The vast vast majority of the time police only solve crimes when they either witnessed them happening, someone snitches, or someone confesses.