it depends on why you are trying to hide.
if you are hiding to keep your privacy and because you don't trust these exchanges then you have a lot of options. some of which were mentioned here.
otherwise if you are trying to hide from the government, for example to not pay taxes (illegal act) or if the coins you have are already dirty (gained from illegal ways) then using these sites is not going to solve any problems. you will still be tracked and caught if they are looking for you.
so you'll first have to decide what level of anonymity you are looking for and then look for a method of exchange. it can be from using something like shapeshift to using some anon coin while trading with anonymous people over in darknet.
Thanks! I wanted to use Shapeshift, however they need an account, this is not exactly what I needed. I do not launder money and do not participate in dark schemes, I just wanted to quickly and easily exchange coins that have been stored for several years. I did not want to spend time registering or something like that. I have already done this, as mentioned above, using changenow, and I liked this service.