I like cycling and I like weight training. I find it hard to do both at the same time without one taking a back seat.

Which is not going to be a problem for you for a while. Worry about it over the winter.


Just ride.

Riding is fun, and you will get tons of aerobic exercise just funnin' around.
You also need to get your body used to riding before you get serious about training.

If you race, you will lose some of that upper body development.

You should start reading about training for competitive cyclists soon.