An interesting project.
It's always good to select a really impressive photo to get people's interest.
Basically, you want something which has the same 'performance' as your car key-fob -> car lock/unlock system BUT with far lower power consumption at the receive end.
In the olden days I'd have considered those Holtek chips. I didn't know you could still get them
I, too, had great success with them (with a 555 powering the RF Module - ah those were the days...).
But you should take more inspiration from what you've been told already.
You should use the Wake on Radio method described by Stan.
This is a simple structure.
1. Power the Rx (Wake).
2. Test for an RF carrier or genuine RF signal.
3. If something then stay on longer to process.
4. If nothing intelligible or rubbish then switch off.
5. Sleep delay and GOTO step 1.
You vary this Listen and Sleep time as a compromise between power consumption and how long the transmission is likely to be.
This is the 'duty' time.
With a modern PICAXE you should be able to do this with far lower power consumption than my ancient 555 based effort.
Just some good common sense design and code.
When you actually see signals on 'scopes it really does help.
I know nothing about the RF modules you are using as I tend only to use Modules from Manufs I know.
Just a comment...
If you are hoping to sell this as a product (OEM) for manufacturers or via reputable distributors then your radio gear will likely have to be proven as conforming to various standards. There may be other requirements too which would be up for discussion with your client.
And when budgeting you should look further than the price of a one-off.
Check out the 100off and more... and whether your manufacturer can supply regulalrly and/or is likely to exist next year.
Note: this will cost a bundle to get a pretty product to market.
How much power will this thing take to repel the scuttlers?
Have you really thought this through and done any calcs?
Good luck, if OEM supply doesn't work then you can always sell via Ebay.
Don't use counterfeit fuses or else Nick will nab you
(That's a little 'in' joke by the way).