I have found it necessary to hire someone to work on the air conditioner compressor at home. Other than that, I've never had a repairman at the house, and have the car in the garage for work only once in 40 years.
It depends how skilled and knowledgeable you are with any of these jobs. Laundry, painting and yard work are all fairly easy to deal with (although painting requires a certain amount of skill and attention to detail to get a 'professional' result).
In some cases it may be dangerous to attempt to do extensive repairs or upgrading, unless you do have the proper training and tools.
You just have to admit your limitations, and not be foolish.
Depends. Sometimes I do it myself, but I am not "handy" so it can take its toll on me from the stress. Usually easier to just pay somebody unless it is very simple. Yard work and windows I do, though not mowing or leaf raking (included in our monthly fees).
I used to do most auto work, but it's too complicated now.