I've been doing computer support on the side for a couple of years in the Denver area. I work as a Net/Server/desktop support person by day and the pick up a couple of hours of support as needed. I've often thought about doing this full time, but my wife likes the bi-monthly paychecks... and this is a nicer way to do it as it limits the impact of those that don't pay or don't pay on time.
I don't do the work for less then $50/hr. Its just not worth my time especially with two toddlers at home and wife with special needs. I'm not an MCSE and don't see why you need to be one to do this type of work. What's important is your ability to adapt and overcome a WIDE range of IT issues from Viruses, Hardware, Software and mostly just plain ignorance and the right attitude to handle it.
What I was able to do that worked out pretty well was to find a small business or two that rarely needed someone for IT work and understoond that I could not provide support during the usual 8-5.
The issues I have with home support are varied. First if its not a rich neighborhood they will have a hard time paying for you. Second they may or may not know what to expect from an IT guy, especially if they have never been supported by one. You may end up with someone that expects you to miraculously make their Windows 3.11 work with the latest technology in 1 hr and then never stop bitching and harassing you when it won't. Third, I dislike going to other peoples homes, touching their stuff, etc. You never know what you are going to find or run into. I highly recommend doing this type of work with people you know or have worked with, and that you setup a check list that you check off when you go in and then verify as you leave (IE, Floppy works, CD Works, Network Works, Internet Works) and have them sign it. This helps reduce the dreaded "You did this, not that's not working, come fix it for free..." calls. Also People recommended by friends and co-workers are likely not to be running meth labs or the like.
Finally, if you do this work, make sure you keep a close track of your income and expenses. I highly recommend setting up a free checking account somewhere just for this work and depositing all profits into it, withdrawing all expenses from it (Documented of course) and then pay your self from this account. It makes tax time much easier and if you want to setup a spreadsheet to go along with it, makes tracking whether or not you're making money easier. There are several books out there on how to do this. When it doubt, look for ones for home (Van) businesses like plumbers and model after that.
Best of luck, there is a lot of need out there.
-Rob