You can give an individual user access to a command with ulx userallow or ulx userallowid.
ulx userallow <player> <command> [<access tag>] - Add to a user's access.
ulx userallowid <SteamID, IP, or UniqueID> <command> [<access tag>] - Add to a user's access.
Example:
ulx userallow Timmy "ulx kick" ^
or
ulx userallowid STEAM_0:0:57225082 "ulx kick" ^
Would give me access to kick myself.