Pulling wells can be hard, or easy. Depends on what it has for drop pipe, condition of well and and the pitless adapter style. Most drop pipe is 1" for residential wells. Note that Cycle Stop is 1-1/4" female NPT, so you will most likely need a 1" female to 1-1/4" male adapter. If the pitless is not a spool style with the drop pipe centered put the Cycle Stop one length of pipe down or 20', so it does not put side pressure on the pipe or Cycle stop. Plastic already whips around in a well pretty bad.
If it has roll pipe then you can pull it out by hand pretty easy. Just roll it over top of a old rim or something like that to prevent it from kinking. I would cut the drop pipe using a regular wood saw and use brass hose barbs. Double up on full stainless hose clamps when you put it together. Norma, Tridon, Breeze are the best clamps. The key is not to kink the drop pipe.
If the well uses straight plastic PVC drop pipe they will be 20' long and threaded together. I would not trust glue, and plastic is a %^&* to fish out of a well. I would try to unscrew a section and use a close nipple to make it male to male and screw the Cycle stop on. Pulling the well is a pain without the right equipment. You will need something around 24' tall to pull it with ease. If you have a few strong friends you can pull it by hand. However have a way to hold the pipe so it cannot fall down the well. One idea is to use a piece of plywood with a U cut in it the diameter of the pipe and larger than the well . Pull the drop pipe up until you expose a coupler, then slide the plywood under the coupler and set the drop pipe down. Then break the joint on the top, never break joints under the coupler, only break the joint on top of the coupler. We would do this when setting casing, but used thick sheets of steel and called them U-Irons. Normally we used 18" pipe wrenches for 1" drop pipe. Most contractors in the area did not put anything on the PVC pipe threads when screwing them together.
Depending on the type of pitless adapter you have it can be a pain to get them to release. You will most likely need a Pull Pipe which is a piece of 1" that you put down the well and screw to the pitless. If you post a photo down the well I can try to ID the pitless to help. Take the photo in the dark, with a flash light down the well. Makes it easier to see what we are looking at.
I worked for a well contractor for a few years, it was fun work, but hard work. Make sure you do not drop the pump down the well! Our specialty was fishing, and he got paid damn well to fish at 2-3X the cost per hour of service work plastic sucked to fish too.