Using A Cell Reference To Copy Rows To A New Worksheet

I've been tasked with redoing a revenue report at work, and in my head I've conjured up what could potentially be a huge time saving way of doing things in the future, although have searched help files and looked around online and can't find the formula/macro (if it exists) to enable me to do this.

The problem is this:

Sheet 1 of the workbook is a large input sheet. Every row contained in that sheet will, in column A, be titled 'red', 'yellow' or 'green'. Columns B onwards contain other data which (at the moment) is irrelevant to the problem.

Now what I want excel to do after I've put the raw data into the input sheet (sheet 1), is to read the text in column A for each row, then automatically copy ALL data in that row over to the next empty row on another worksheet.

ie Sheet 2 will have all rows that have 'Red' in column A on the input sheet, Sheet 3 will have all those titled 'Yellow' and Sheet 4 will have all those titled 'Red'.

I know I can use a filter on the input sheet to just show the data I want, but each colour coded row will contain different data to another, and if there is a formula/macro setup i can use to do the above, then I can set the subsequent worksheets up to hide the superflous columns from the input sheet.