Thanks for the additional information.
A 60cc saw in a light, trim package will probably be your best bet for an all-around saw. The Stihl MS361 would be a great saw for your purposes, as would a Husqvarna 357xp. For a few bucks less (and a bit less in the performance department, too) Husqvarna's 359 would be another good choice.
EDIT: Upon further reflection, you might want to also consider the Stihl MS290/310 and Husqvarna 350/353. These are less powerful but are also less expensive, and should meet your needs pretty well, too. Of those four, only the 353 is a magnesium-cased pro-grade saw. The others have plastic engine cradles/oil tanks. The Stihls in this class are very heavy for their power output, but are renowned for their reliability nonetheless. The Husqvarna 350 is probably the best value in a 50cc saw that you are likely to find, and has a very good reputation for being a durable, handy, reliable $300 saw!
The only caveat with the Husqvarnas is that if they have a green gas cap then you will REALLY want to replace the muffler with the earlier non-Catalytic converter version. These e-Tech, green-cap saws run too hot, too lean, and are choked down on their performance potential. This will add about $40 to the price of the saw and is not warranty-approved.
In a saw this size you will probably want to have a 16" and 20" bar, or possiblly a 16" and 24" bar if you anticipate spending a lot of time in the bigger stuff. When you're cutting on a wood pile there is NO benefit to running a longer bar than necessary. In fact, a shorter bar is probably safer so that you don't end up sticking the tip into the next log in the pile, causing the saw to kick back at ya. When cutting on a wood pile or bucking up logs that are in/on a trailer, I've found it works well to cut most of the way through the log with a short bar for a number of pieces and then roll the log with a cant hook and finish the cuts. For this sort of use a long bar is a real disadvantage.