Westley, the router you have will certainly work, but, you understand it will be a bit awkward and might be a challenge to control, being rather on the large size.
Some tips that should make it easier, one, keep one handle over the work piece all the time, and push down and pull back on it, that way you have one half of the router over the work piece with a good grip on it, it should not tip as easily.
Do you have any off cuts? if you do, then put some next to the piece you are working on, to support the other half of the router that is hanging off in the air.
You can certainly do the job with the larger router, you just have to plan ahead and be careful to not let the large router get away from you.
The pessimist complains about the wind; the optimist expects it to change; the realist adjusts the sails.
William Arthur Ward