I would call the personal trainer back and ask them if they have any personal endurance athletic training. If they don't, I'd see if you can find someone who does.
Normally in triathlon, by the time an athlete is immersed in their racing season the strength training falls to the wayside. Frequent race intensity efforts take the place of strength training. Those athletes that have been strength training regulary will go on a once per week maintainence schedule and will usually still drop all leg weights/resistance training. If you want to do weights I would focus on upper body strengthening for swimming and core work for now. After your last race of the season, it's good to take your training very light, you specifically would keep riding but I would drop all swimming and running. Then when you're ready (1 to 2 months post season), fall is the time to hit the gym. Usually it takes about 6 weeks to get some base strength before I recommend getting into plyometrics. But plyometrics are killer for power training when done properly. That kind of training should be happening in Dec, Jan and Feb.
So you might want to set up an upper body and core session now and see if you can leave the others until fall.
Hope that helps.
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