Things to think about that will help answer:
-What is it about alcohols that make them water soluble? (are there any polar bonds, or unshared electron pairs on atoms?)
-Are C-H bonds hydrophobic or hydrophilic (hint, is the bond polar or do either atom have unshared electrons?)?
-So if we increase carbon length, we are increasing the number of C-H bonds, yes? How does affect the molecules overall hydrophobic or hydrophilic character?
EDIT: Oh, you snuck in the branched question on me. I have a gut feeling that branched are more soluble, but I'm not sure I have solid explanation to back it up. I'm going to guess it's going to be related to the spherical surface area of the molecule and how easily they pack together (this ties to boiling points), but not 100% sure.