I would like to reiterate Edo’s answer, and add my perspective.
First and foremost, I believe that one can follow EA perspectives (e.g. donate effectively) AND be kind and helpful to strangers, rather than OR (repeating an argument I made before in another context).
In particular, I personally don’t write giving a couple of dollars in my donation sheet, and it does not affect my EA-related giving (at least not intentionally).
Additionally, they constitute such a little fraction of my other spending, that I don’t notice them financially.
Despite that, I truly believe that being kind to strangers, giving a few coins, or trying to help in other ways, can meaningfully help the other person (even if not as cost-effectively as donating to, say, GiveWell).
I don’t view this and my other donations as means to achieve the exact same goal, but rather as two distinct and non-competing ways to achieve the purpose of making the world better.
With regards to FIRE, I myself still haven’t figured out how this fits with my donations. In any case, I think that giving money to beggars sums up to less than $5 per month in my case (and probably even less on average), but I guess that also depends on where you live etc.