I know I'm not alone on save scumming to reroll failed lockpicking attempts. I am sure this is not faithful to PHB rules, but it's a quality of life change I'd like to see.
Perhaps, have it destroy your lockpicking set on a failed attempt (like Baldurs Gate 3), so it's not a free reroll.
Also, I'd like to see higher quality lockpicks available. +1 lockpicks, etc.