>I am been a follower of Astrophysics for a long time, but I have never heard of either one of thoeries. Are there web sites on these?

Here's an introduction of who is looking outside of the mainstream and why:

http://www.cosmologystatement.org/
http://www.holoscience.com/news.php?article=zj49j0u7 (same letter, but with more commentary)

A prominent challenger to the Big Bang is Tom van Flandern and his meta-model:

http://www.metaresearch.org/cosmology/DidTheUniverseHaveABeginning.asp
http://www.metaresearch.org/cosmology/top10BBproblems.asp

Here's the mainstream's case against tired light:

http://www.astro.ucla.edu/~wright/tiredlit.htm

I don't find anything too compelling in there, except for the light curve arguement, and this recent paper casts doubt on the validity of that:

http://arxiv.org/ftp/astro-ph/papers/0404/0404207.pdf