I highly recommend these shoe lace locks for the wrist strap. Not any of these things, but these SPECIFIC make and model from one of these two links only. (Sometimes New Balance stores also sell these specific ones by the cash register) Most of these either suck, are much too small to fit a strap in, or don’t last very long. These ones seem great.
Also if you have multiple skates, I use a different color lock on each remote strap so I know which skate it controls.