did you click on the link provided? it just doesn't explain "federal skilled worker", it discusses ALL the routes available for working in canada. It actually takes some investigation and possibly filling out a survey to determine what you qualify for. we are not going to be able to tell you for sure what you qualify for since we don't know your personal history. you will have to do the legwork to determine how/if you qualify. any route is going to take time and effort.
In order to work legally in canada as a us citizen, you have to be offered a job from a canadian employer who is willing to apply/already has been approved for a labour market opinion (LMO). The employer has to prove that they can not find a canadian citizen to fill this role. They will need to advertise the position to canadians for 30 days to prove this. Once the employer received an LMO, the worker will get a work permit. Obviously this is pretty difficult to obtain. It is not entirely impossible, just very difficult. If you are young enough, you may want to check out if US and CAnada have a "working holiday" program, which is how young people come to canada and work for a specific amount of time.
You will always be entering canada as a "visitor" whenever you go visit your boyfriend. A visitor can not legally work in canada, and if there is suspicion that you intend to, then they will deny you entry, even banning you from canada for a certain amount of time. You will not be able to "move" to canada until you are given permission from immigration, either through a work or student visa or Permanent residency.
If you want to go see your boyfriend, you can enter as a visitor, and potentially stay there for 6 mo. The border agents will want to see prove you intend to go back home at the end of your stay, so it's important to show proof of housing (a lease/mortgage/deed) or a job (paystub/work contract). Belongings and family do not count. You should never ever suggest to border agents you are moving there! The border agents are not as friendly toward non-married couples who don't know the rules. They will certainly give you an exclusion order, or require you to check out on a certain date, if they feel you don't know what you are doing and just plan to live with your boyfriend in canada.
If you want to be with your boyfriend full time, then you need to apply for permanent residency and have your boyfriend sponsor you. You will not be able to do this until you are married or have lived together for at least 365 consecutive days to become commonlaw. Once in canada as a visitor, you can apply to extend your stay as a visitor so you can be there long enough to qualify as commonlaw or make plans to get married so you can apply for permanent residency status.
If working is vital, you can work remotely for a non-canadian company as a visitor. There are many companies that have customer service or call center type of jobs that will allow you to do this. This is the best option for US citizens, as it alleviates the concern of border control you will be working illegally while in Canada. Or you can find a job in your area that is ok with you leaving for an extended period of time.