It is common for it to increase. The thing that is important is the ratio of LDL to HDL. Also the size of the LDL is a huge factor. An increase in HDL is considered good.
I'm just starting to get a grip on this stuff; there are many on here who know quite a bit more than I do. There is a really great thread on PB about cholesterol that gets posted from time to time; I think its author is "Griff".