Seems like you want hardwood pattern saw for the trees you have.
I cut many trees down with a hand saw in my life - back in the old country - never touched a chainsaw before i was way over 30 years old. We used two man crosscuts and one man saws like these:http://nazahradu.snadno.eu/pily-rucni.html?xmlid=460056
The two man crosscut is manlier but unless you are cutting some serious logs, the one from the link is much, much faster.
In USA I tried to get a hand saw at Home Depot and took it back, except for pruning saws what is available for sale is POS.
Much easier to follow DeerMeadows advice and get a small chain saw but if it was me and I wanted a hand saw I would definitely go with some competition one like the web page you mentioned.
The teeth do no make such a huge difference for a normal user, hardwood saw will cut softwood too and vice versa.
I am curious what you will end up with