As someone suggested, top-shelf Eneloops might be overkill for minor stuff like remote controls and computer mouses. Sure, if you're headed out into the weeds, bring the best you have. For mundane household stuff, though, any low-self-discharge batteries will serve, provided you have a decent charger.

Since frugalism is the goal, the trick is to keep an eye out for clearance sales. Otherwise you're spending almost as much per battery as top-shelfers, which is not wise. For example, last year, Ikea was clearing out tons of 750mA LSD AAA's for a dollar per four-pack. Did I buy a couple of cartons? Of course I did. Way more than I need, but the rest turn into stocking stuffers and office gifts, so they save me money. 25 cents a cell, and they work fine.

I have never had a NiMH leak, BTW. I have dozens, cheapies and top-shelf, and have used them constantly for years and years.