No, you do not have to be a mechanic to own a small engine, although it would not hurt :smile:
When I bought my first house I ran into the same problems you are experiencing. Most of the problems you are having are probably due to not using up your gas within 30 days or improperly storing your equipment. As a result you have been having fuel related problems (fuel lines, carburetor). I learned by making the same mistakes, in other words the hard way. :ashamed: Your best friend is your owner's manual. Required reading should be the maintenance and storage sections. Most users quickly read the part about setting up their equipment, and how to use it and never get around to reading the rest of the manual.
Also, the quality of your equipment is important. In general equipment that is cheaply manufactured without good quality control will not last as long as commercial grade or higher end consumer grade equipment. But even the very best equipment will quickly malfunction if not maintained properly. If you buy equipment that is of high enough quality to do the job you need done then you should not have to take it to a mechanic as often, or end up fixing it yourself as often. And that will save you a lot of time and money. Another alternative is to hire someone to mow your lawn, remove your leaves, remove your snow and so on. I did my own lawn work for the first six or seven years. Once I started working over 50 hours a week I had to hire someone to mow the lawn. When I retired seven years ago I went back to mowing my own lawn, and purchased a snowblower three years ago to clear my driveway. Every year I get better at maintaining my equipment, and as a result I have had fewer problems to deal with, and my expenses have been reduced.
PS: This forum is a great place to get tips on maintenance, repair, and suggestions on buying the right equipment for the job that needs to be done.
Good luck!