Everyone has cuts on their hands but no one ever got hiv that way or you would read about it happening to kids and grandmothers.
None of the things you've mentioned here are a risk for HIV. There is no such thing as environmental exposure. It's not how HIV is spread. In an adult, only unprotected anal/vaginal sex and sharing drug needles with infected users carry a risk for infection. You will not get infected by touching blood or by accidentally ingesting blood, even with cuts, scrapes, papercuts, whatever. No risk.