All three will balance standalone with no charger, and balance actively while charging (best way). The equinox and LBA10 are supposed to be the same balancer, just re-badged for the diff companies.
Either will handle a 5000mah lipo, up to 6S for LBA10 and Blinky and 5S for the Equinox. You will need the adapter rcterp mentions to charge at 1C (5amps) for your 5000mah.