You can either pour bleach into the skimmer (which is what I do) or in front of a return jet. I'm not sure how one method over the other would affect liner life.
As far as getting a chlorinator and using trichlor tabs when you are away, that is fine. But, just remember that trichlor will raise your CYA level. Also, it is very acidic and will drive your pH down so before you use them, you should probably push your pH up to 7.8 or 7.9 to give it some wiggle room to drop without falling below 7.0.
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