I'm no expert, it's only my third year, but I have a system now. I know others will have different systems, but for me, with just a couple of hives this works for me.
Get bee proof!: For me this means shutting myself in the kitchen - all windows and doors closed - not pleasant on a hot day! Make sure there's no bees in your supers either. I have some big plastic gravel trays, so I put one of these on the floor to save it from all the honey and propolis and then stack the supers I'm extracting on the tray. I have an empty tray beside it to put the finished supers.
Uncapping: I have a big stainless steel roasting tin. I uncap a frame at a time over this to keep the honey drips and cappings contained. I use either a heat gun or an uncapping fork - don't really have a set preference yet! As soon as a frame is uncapped it goes straight into the extractor. At the end of the day I scrape all the cappings and spilt honey from the roasting tin into a strainer over a bowl. This honey is kept just for me, and the cappings are stored ready for rendering down.
Extracting: I have a cheap plastic 2 frame manual extractor. I stand this on top of a small table, so that I can put my settling tank (just a big plastic bucket with a honey valve) on the floor underneath the open honey valve of the extractor. A double strainer sits on top of the settling tank. Because it's a tangential extractor I spin slowly and not too long on the first side of the frames before flipping them and going all out on the second side, then flipping and finishing the first side again. This stops your frames from blowing out from the weight of honey on the side you haven't spun yet.
Straining & settling: With the honey valve in the extractor open the honey can just drain through the double strainer straight into the settling tank. Once I've finished or filled the settling tank I lay a piece of cling film over the surface of the honey and put the lid on before leaving it for a couple of days. Once it's settled I can just carefully lift off the cling film taking all the bubbles and little bits of wax with it. I love the honey scraped off the clingfilm as it's almost creamy!
If I don't want to jar the honey up any time soon I just transfer the honey out of the settling tank into a bucket to store it, but most of the time I end up jarring straight away from the settling tank.
Jarring: If I had a dishwasher, I'd use that to clean my jars/lids, but unfortunately I'm the resident dishwasher. So I wash each jar and lid in hot soapy water, rinse and put the jars in the oven at about 150C for 15-20 mins. I know honey's not sterile, so I don't really do this to sterilise the jars as much as get them perfectly clean and dry. I have a tray I've made out of wire mesh that I can load up with jars and easily lift in and out of the oven. I learnt quickly that I hate trying to get loose, slippery, hot jars off of the oven shelf without smashing them or knocking all the others off. The hot jars then go on a couple of cake racks to cool enough for me to be able to handle them.
I made myself a simple honey bucket tilter (like this:
Honey bucket tipper - The Apiarist - mine just has coarse sandpaper instead of the bucket stops) which is invaluable. I put this on top of a huge upturned casserole pan on the counter, then put the settling tank on it. The upturned casserole is just to give me enough height to be able to put my digital scales with a jar on underneath the settling tank's honey valve. Then it's just a case of filling all the jars, making sure the scales are zeroed with an empty jar on. To be safe I always go a couple of grams over whatever's stated on the label.
Labelling: With only a couple of hives I usually jar up honey and label the jars straight away. I usually run out of honey rather than have it hanging around too long. Each jar gets wiped and polished up to get rid of the honey drips, then the tamper proof seal and label added.
Anyway, hope that helps! Above all I can't recommend a bucket tilter enough!