I've added lifting and have noticed it on the bike. (not that i am that fast or anything)
I keep it super simple, using full body move and opposing muscle groups and two groups to do alternate days
warm up first...prefer 20 min interval on rowing maching (2 min warm up 30sec hard, 1:30 sec easy, repeat 8 time, 2 minute cool down)
workout 1 (5x5 reps each, 5 times)
Hourglass squat
bench press
Bent over Rows
workout 2 (5x5 reps each, 5 times)
Hourglass squat (or if no rest day, overhead squat, no weight, really stretches everything out)
Lat Pulldowns (until I can do a pull up)
Clean and press
simple and seem to cover everything ymmv
__________________
Life is too short not to ride the best bike you have, as much as you can
(looking for Torpado Super light frame/fork or for Raleigh International frame fork 58cm)