General Guidance.
The age of the bird is a good indicator of what methods won't work well for preparation. "Fryer", "Roaster" and "Capon/Stewing Hen" are indicators of age, not necessarily weight.
Young birds haven't had time to exercise. Their flavor is milder, the meat more tender. You don't need to deal with tough, well developed tendons and other connective tissues.
Rapid, dry heat methods are favored here. Frying, Grilling and Baking primarily. Because the heat is intense, its easy to overcook. Methods that provide for uniform cooking size (i.e. pre-portioning breast tenders, spatchcocking a whole bird for roasting, or simply preparing just wings or just legs) are a cook's friend. If you can't do that, control the time (watch a good pan fried chicken video) - thighs then legs then breasts then wings is the order into the heat.
Adolescent birds get more flavor, more toughness. You need a little time, and a more gentle heat, to allow them to cook through and some of the connective tissues to break down. Frying is pretty much out (lower temps and longer time allow the oil to overwhelm the moisutre content, resulting in greasy final products), baking/roasting still works, grilling favors much smaller chunks of meat to reduce needed time (and because precutting across thegrain provides the illusion of tenderness).
Adult, you need much longer for those connective tissues to break down, real risk of the bird drying out. Dry heat methods are almost entirely out. Moist heat is your friend. Braising. Soups and Stocks. You can smoke. low and slow, if you pre-brine.
Older? Absent specialized equipment (sous vide, second post), your best bets are stocks or mechanical tenderization - chop into tiny bits and mix with other things like a wonton suffing, a stir fry (
use the baking soda tenderization trick), or grinding into sausage. Remember that chicken fat isn't hard at room temperature like cattle fat or pig fat - it will quckly render out while cooking your sausage, leaving a mealy texture. Edible, not good eats. You want to sub in a different fat for what you get from the chicken when making sausage, and use rendered chicken fat for making
schmaltz.
What ages fall into which category? That's in part up to you and the way you were brought up, your expectations of tenderness. Some of it is breed dependent as well. Ealry developing breeds toughen at younger ages. Leaner-tending breeds have less fat to provide both tenderness and moisture.
For me and my flock, "young" is under 6-8 weeks. I don't fry my birds, I don't take them that early. Adolescent is somewhere around 12-16 weeks (the girls a little longer than the boys). Adult is around a half year to 8 months. Everything else is "Older".