I would echo what other users have suggested here; the way Google has changed 'Exact match' recently means it allows for close variants, so there will be overlap. Particularly for very similar keywords such as "rubbish removal" and "rubbish removal near me", as you have suggested here.

If you were going to put these keywords in the same campaign but segment them by ad group then I'd recommend adding ad group level negative keywords to ensure you're getting a true picture of each keyword's performance. For example in the ad group containing 'rubbish removal' only you'd want to have 'near me' as an ad group level negative keyword.

This granular approach tends to work well for high volume keywords so it really depends on search volume. As with anything in Google Ads - test and learn!