I'm going to approach this from a different angle: an investor's perspective.
First, while it might be nice for you to obtain a CMA, you'll need to place greater emphasis on the appraisal--because your lender certainly will--provided you intend to finance any portion of your next purchase.
Second, you mentioned your house is old, outdated, too small for you and your family, and too costly to maintain. Although your house is in a desirable location, most retail buyers won't get past the fact that your house is outdated, and it needs to be rehabbed--especially since there are so many other properties for sale that are already marketable. Basically, you should consider targeting investors, but note that they don't think or operate like retail buyers. Although they'll look past the needed repairs/updates, they'll also ignore the "tree-lined" and "prime location" descriptions.
Third, you mentioned you'd like to sell your property "without getting fleeced"; I'll assume you meant you'd like to sell your property for as much as you can get. However, you need to decide whether it's more important for you to sell quickly or to sell the property as close to your ideal sales price. If the time is more important to you, then you'll need to be more flexible on your price and terms. Similarly, if the price is more important to you, then you'll need to be more flexible on your terms and marketing (including repairs/updates and staging). For example, I (as an investor) might present you an offer to purchase your property at your sales price if you were willing to do the deal as a wrap (aka a subject-to mortgage or all-inclusive trust deed), with a broker's commission rebate of $30K, with an abatement of the first 3 months of payments, with a 5-year balloon, and with no pre-payment penalty. And let's say you didn't like that offer, so I countered with the following terms: I'd purchase your property at its current market value with a wrap, with the first 3 months of payments deferred, with an 18-month balloon, and with no pre-payment penalty.
The point is there are lots of ways to do what you're trying to do, and the more flexible you are, the quicker you'll sell your house.