It's rather simple. All you do is count the number of electron domains around the atom you are trying to find the hybridization of and use
(s,p,p,p) as a template. So for a CH3 attached to a CH2, the CH3 carbon has 4 bonds around it, so therefore you use an s,p,p, and p, hence sp3. Now for NH3, there is a lone pair on top of the nitrogen, that counts as one electron domain. So N has 4 e-domains and is also sp3. Double and triple bonds count as one electron domain so something like
H-C-Triple Bond-C-CH3, the two C directly attached to the triple bond only have 2 edomains, so therefore they are sp hybridized.
You have to be able to draw correct lewis structures to make sure that you have the correct number of lone pairs, then count the e-domains and the number you count is how many you take for the (s,p,p,p) template. Hope this helps.