I'd be super careful about clipping him yourself, if you do buy clippers. I am a groomer and I groom kitties - their skin is really easy to cut, so I imagine a rabbits is much easier to cut. With kitties, we have to kind of stretch out the skin along the body with one hand, while clipping with the other. Generally we use a #10 blade on the belly of cats (most sensitive, easy to cut area). The vibrating and noise from the clippers may scare a rabbit, so watch for signs of that.
If possible, see if a local pet groomer will allow you to come in and watch while they shave down a cat...so you can see how fast/slow you need to go with your clippers and watch the motion in which they do it.
I looked at your blog and noticed that you have what looks like a Jack Russel type dog. You can always get a pair of clippers with a #4 blade, then practice shaving her in reverse motion (against the hair). This way, you will get a feel for using clippers before using them on an animal with easy to cut skin.