Different flight reservations?

I can't see any way for you to pick up a FedEx package and get it on your flight within an hour. Not going to happen. I doubt seriously that there is any way to get the package transferred by FedEx to your aircraft. I believe that you have to physically check it in.

Assuming you cannot change your flights to something that uses an appropriate sized aircraft, your only option is going to be to ship your bike from Albany to a hotel or bike shop in London and pick it up when you arrive. You'll probably need to do the same on the return. This does seem risky as your bike might be held up clearing customs. FedEx/UPS/etc. could probably give you some advice here and if you pursue this, you should call them up and enquire about cost and lead time.

I really think you should change your flight to one that either uses larger aircraft from Albany or leaves from a location within a closer drive from Albany than Toronto.