Look at the Polaris parts lists (Babbitt's, partspitstop, or (
Browse) for 2002-2005 700 engines/carbs. Use those cables, etc. I looked for the "sticky" which had tons of info on this Mikuni switchover, didn't see it, so do a search on here to get familiar with this should you choose to adapt to the Mikunis.
Swap meets, salvage yards like Mohakwks in Hibbing or Ske's in Esko, or ebay should have a carb ""rack" for these, running about $100. Get the 40mm ones, the 600's ran 38mm. SkiDoo had run racks, but their spacing was different, so don't get those! Jetting for a stock machine, I'd start with 440 or 450 mains, whittle down to maybe 410's depending on the piston "wash". The wash is the area on top of the piston (the "crown") that stays clean, right at each transfer port, looking down the cylinder with a good light... you want the size of the wash to be about the width/length of a fingernail. The rest of the piston should have some carbon deposits on it after some time, which is normal. If the top of the piston is clean, with a larger wash area, you can usually jet down, one step at a time, but it takes some time to develop enough carbon, and corresponding wash, usually a couple hundred miles. Be safe and start big, some stock machines, and even SLP recommended even bigger jets when they told customers to jet their new pipe to be safe, approaching 480 and even 500, but that is unusual.
RMK carbs have different slides, they tend to run lean. They also have leaner jet needles. Try to find regular XC or XCSP carbs to avoid having to switch components. The main jets in these will prolly be just fine for what your sled will require. Use the pilot jets and air jets that came with the model years I listed, they will be close, too. Making the connection to the airbox is important, don't leave the bells open and exposed to underhood temperature, and pressure changes. Some guys went with Fernco connectors, they might need to be slightly modified to fit your current airbox. .Make sure you properly vent the carbs to inside the airbox, leaving them out and not connected makes the carbs run a little rich. There might be a black electrical box on the side of the Mikuni carb that is not needed for your year sled. You can just leave it in place. It helped set the throttle position sensor (TPS). It's been a number of years since I did this, so I'm hoping I gave you some tips that are gonna help.