You can set marks at the beginning and end of your block using m (e.g. ma, mb) and then refer to them in the range of a ex command as :'a,'b.
Like bignose said you can use a visual block to create an implicit region for a command, which can be passed to an ex command using :'<,'>
You can also use regexes to delimit a block (e.g. for all the lines between start and end use :/start/,/end/
For example, to make a substitution in a range of lines:
:'<,'>s/foo/bar/g
:'a,'bs/baz/quux/g
:/harpo/,/chico/s/zeppo/groucho/g
The last visually selected range is remembered so you can reuse it without reselecting it.
For more on ranges, see :help range
You can further restrict yourself within a range by using g//. For example, if you wanted to replace foo with bar only on lines containing baz in the selected range:
:'<,'>g/baz/s/foo/bar/g
When you define a new ex command, you can pass the range given to the ex-command using as <line1>,<line2>. See :help user-commands for more on defining ex-commands.
Within a vimscript function, you can access an implicitly passed range using a:firstline and a:lastline. You can detect your current linenumber using line('.'), and detect whether you're inside the block using normal boolean logic (a:firstline <= line('.') && line('.') <= a:lastline). See :help functions for more on vimscript functions.
Another approach, is to use vim's inner i and single a selectors. For example, to delete the entirety of a double quoted string, use da" in normal mode. To leave the quotes, use di". See :help object-select for more.