Not a good idea to try this yourself. Do you know how far down you have to go to reach the main line? Casual laborers won't, and it could be pretty deep. Deep ditches pose cave-in hazards depending upon the nature of the soil in your area. Want to take that risk? Contractors are experienced, informed, and equipped to do this kind of work in a short period of time.
Sewer connections are covered by both zoning and health regulations in most cities. You will most likely have to obtain a permit whether you do it yourself or have a professional do it. Digging in an urban area? you have to get the local agency to come out and mark underground utilities (called "holey molely" in my area). When you disconnect from a septic system you will at least be required to fill in and seal tanks and disconnect from finger systems. If your city requires you to break up and remove the septic tank, oh, my goodness, dyi-ers and causal laborers won't be equipped to do that, and really don't want to get mixed up in that. Contractors do all of this for you, and of course, filling in and sealing are easier and therefore cheaper than breaking up and removing.
All of this and actual hookups require inspection before you cover anything up. The sewer authority will charge you a one-time connection fee as well as a monthly charge regardless of how you do it. That could range from $500 to $2,000 depending upon the local sewer authority. You may qualify for special assistance from federal and state sources.
Ninety-five feet isn't a long run. I am not a contractor but I have some personal knowledge of this process. Not sure of contractors' charges in Minnesota, and you've left a lot of variables unstated, so I won't quote figures, but you would likely get this work done by a contractor in a short period of time, get it done correctly, and for a reasonable price below your expectations. What's your peace of mind worth? Call some Angie's List contractors and get them to give you an estimate. They will deal with you.
Source: IndyWilks