Outside of learning to dodge skillshots or play super safe - playing aggro champions (Leona, Lucian, etc.) who can make it a kill lane, a pushing lane (Sivir, Caitlyn, etc.) that deny them the chance to poke you out, sustain (Sona, Raka, Nami though they're part of your problem too) to heal up.
Both Kai'sa and Tristana are weak laners early on and rely almost exclusively on autos to farm, so when you pick these champions you need to know your limits and realize when you need to take a step back.