Hey there. I've managed to get a good ranking in Google on the web search, but how exactly do I go about getting my images searched by Google?

As far as I know the image search only looks at a couple of things, what the filename of the image is and what the ALT text is, make sure you have your keywords in both of those. Nixies

When you say keywords do ypu mean my page keywords or image keywords?

The keywords you want to be found on in the image search. Say you want to be found on 'Britiney Spears' make you ALT text 'Britney Spears' and your file name BritneySpears.gif.

even adding a - in the filename would help too like britney-spears.gif

How do you mean? So if someone included a - in their search it would help my image appear?

most search engines use the '-' as a space when people search...so ideally if someone searched 'John Wayne' you would want to have your image titled 'John-Wayne.gif' and your alt to be 'John Wayne'.

Someone correct me if that is not correct.

That is correct sir.

Ahh right, thank you very much. So what if someone searched for 'surfin' and my file name was 'surfin-stan.gif' and my alt was 'Surfin Stan'? Would it show up?

In theory, unless there is an uber surfin stan site out there. The point of the - is to seperate words so that the individual words become keywords as well as the whole phrase.

Riiiiiiiight.

Lol, uber surfin stan (I don't think so!)

Just to add one point to the discussion...
The term you want to be found for should hold a significant portion of the "density" of the phrase you have in your alt tag and filename.

Ex. stan.gif and alt tag = "stan" would do better for phrase = stan while it would have less relevance for phrase "surf stan"

This is very similar to ranking a page in the SERPs. IMHO.