Best pet styptic gels & powders according to redditors

Apparently it's called Kwik stop, haven't bought any in awhile.

Amazon link.

Dr Fosters Smith link.

In addition to everything mentioned here, I would highly recommend some styptic powder for your doggo. It's much better at clotting small scrapes than gauze is. I never take my lab out on a hike without a small container of it in her pack. A collapsible bowl for water is an obvious one as well. Consider booties if you are going to be hiking in very rocky or snow conditions. Also, depending on the breed and conditions, you may way to pack a small fleece blanket for your dogs sleep system. A tick key or tweezers is an absolute necessity as well.

https://www.amazon.com/gp/product/B0002H3RBU/ref=oh_aui_detailpage_o02_s00?ie=UTF8&psc=1

It's very important to get his nails down to size FAST if they're clicking on hard surfaces, which may mean clipping before you get your dog fully used to the clippers.

Really, it's more about confidence than technique if it gets to the point where your dog is never going to be ok with the clippers. We tried acclimation and treats and praise and all the things "good, positive" dog owners are supposed to do. In the end, we had to resort to the Ambush Technique:

• Cuddle on the couch with the dog...wait for him to start snoring...pull the clippers out from under my butt...SNIP.
  
  Very easy to do once or twice a day. He gives me this look like, "Not this shit again," and goes right back to snoring. Eventually you'll get to the point where you don't even need to hold the paw to get a good cut, which will allow you to line it up and snip before he wakes up.
  
  He has extremely thick, opaque black nails that make it impossible to see the quick. That's why we made sure to buy clippers that have a guard to protect against cutting too much off at once.
  
  Despite this, I've hit the quick twice over a year, and it never puts him in discomfort...he starts licking his paw like it's a delicious blood lollipop. This stops the bleeding in seconds.
  

I think this is good advice and I want to add that they sell this powder stuff (talc powder?) that stops bleeding. It's a good first aid item for any ferret owner to keep around because as you said, they have such a small volume of blood it's important to stop the bleeding asap.

Edit: not talcum power, styptic powder. http://www.amazon.com/gp/aw/d/B000P0VFMW?pc_redir=1396946151&robot_redir=1

You can get a bottle of Kwik Stop for $4. It's great to have on hand, stops bleeding almost instantly and has pain-relief for your pet.

While the wounds are healing do this twice a day:
Take a washcloth with hot salty water and hold it on the wounds to soak them and clean them.
Spray them with this: http://store.vetericyn.com/index.php/wound-and-skin-care/vetericyn-all-animal-wound-and-skin-care-4-oz-liquid-pump.html
Make sure they do not close over from the top and have pus building up under the scab. Make sure they are closing from the inside. The soaking with the wet washcloth will help this and the vetericyn will keep the wound from getting infected (and be safe for your rabbit).
This is all information our vet gave us about caring for wounds and she is a very good rabbit vet.

As far as bleeding, rabbits are small and bleeding out is a serious danger. Stypic powder can help stop bleeding from small wounds. http://www.amazon.com/Miracle-Care-Kwik-Styptic-Powder/dp/B0002H3RBU/ref=sr_1_2?ie=UTF8&qid=1375141400&sr=8-2&keywords=styptic+powder
Clean q-tip in the powder and dab it on the wound.

If you are worried your bunny isnt eating properly, try critical care:
http://www.amazon.com/Oxbow-Critical-Apple-Banana-Supplement/dp/B001FKACXO/ref=sr_1_2?s=pet-supplies&ie=UTF8&qid=1375141438&sr=1-2&keywords=critical+care
It says to mix with water. If your bunny isnt eating it, get some canned organic pumpkin or a little bit of banana to mash up with it. This is what we use for sick rabbits at our rescue. You may need to syringe feed her this if she isnt eating and wont eat this.

And consider keeping your rabbit indoors! There are lots of benefits to having a houserabbit, and we see a lot of injured rabbits come in from encounters with wildlife in their outdoor hutches.

My dog is 8 years old and I still clip 1 nail too short almost every time. There's nothing you can really do except try to be overly cautious and keep some of that styptic powder handy in case you do clip one too short

Be very careful with this since if you cut too deeply, there will be a lot of blood. It will stop eventually but (if you're anything like me) you'll probably freak out a lot and your bunny will be in pain.

Carefully pick up your bunny and hold him in your lap with his back to your stomach. If he tends to kick and scratch, you may want to wrap him with a towel and make the "bunny burrito" that dragon mentioned earlier. Using one arm to brace the bunny against you (wrap it around the bunny's tummy and support their butt in your lap, you can hold the clippers with one hand and hold the paw with another.

Make sure that you do not cut the red part of the nail (called the "quik") this will cause a lot of bleeding. Cut only the white part. If you do accidentally cut the red part, it can be stopped using this product Kwik Stop or by taking cornstarch to "plug" the end of the nail. The cornstarch method is easy enough but honestly I always end up getting cornstarch over everything - myself included.

Putting the bunny into a "trance" is a safety mechanism that buns have called "Tonic immobility" and occurs usually when the bun thinks that they're about to die. It's very stressful on the bun's body (because they've activated their flight - as in fight or flight - instincts) and well they're terrified because they think they're about to die.

Unfortunately as to "easiest," I'd go with the towel method.

i'm going to start using this for my piggie with black nails http://www.amazon.com/Bamboo-Styptic-Powder-Pack-Colors/dp/B0006HRA7I/ref=sr_1_10?s=pet-supplies&ie=UTF8&qid=1346724044&sr=1-10&keywords=bamboo+nail+clippers

Trimmex is also very good.

http://www.amazon.com/gp/product/B0002H3RBU/ref=cm_cr_ryp_prd_ttl_sol_0

it aint new, they just don't make it for humans because money