Points and miles can genuinely fund a chunk of your travel, but the beginner mistake is chasing every sign-up bonus instead of picking one ecosystem and learning it properly.
Pick a single major transferable-points programme to start — the kind that lets you move points to multiple airline and hotel partners rather than a card locked to one airline's own miles. Transferable points are more flexible when redemption values shift, and they let you shop around for whichever partner airline offers the best value for a specific route rather than being stuck with one airline's often-poor economy redemptions.
Redemption value is where beginners lose the most money: booking a domestic economy flight with points that could have funded a long-haul business seat is technically 'free' but a poor use of the currency. Learn roughly what your points are worth in cents per point for a few realistic redemptions before you book anything, and hold off spending them on the first flashy option that appears.
Only carry a card with an annual fee if you can quantify what you get back — a free checked bag, airport lounge access, or a points bonus that clearly outweighs the fee. Set a calendar reminder before any sign-up bonus's minimum spend deadline, and never carry a balance to chase points; the interest wipes out any value the points were worth many times over.