Which edition you actually need
Home covers everything most people do with a PC. Pro adds features that matter in a managed or business context — BitLocker device encryption, Remote Desktop hosting, joining a domain, Hyper-V — and almost nothing that changes daily home use. If you cannot name which of those you want, Home is the correct purchase and Pro is a more expensive way to get the same desktop.
The "N" editions sold in Europe are the same product with Windows Media Player and some related components removed, for historical competition-law reasons. They are occasionally cheaper. Unless you have a specific reason to want one, they are a small inconvenience for no benefit.
Upgrading later is possible: a retail Pro key entered on a machine running Home will move it up. You are not locked out of the decision, which is another argument for buying the cheaper edition first.
Retail, OEM and the ones that are neither
A retail licence belongs to you and can be moved to another machine once you remove it from the first. An OEM licence belongs to the machine it first activates on. Both activate identically, and a listing that says only "genuine key" has told you nothing about which you are getting.
The very cheap listings are usually neither. Volume licence keys issued to organisations activate on home machines and can be deactivated later when the issuing agreement is audited or withdrawn. So can keys generated for education or evaluation programmes. Nothing visible on your PC distinguishes these from a retail licence on the day they activate — the distinction shows up only when it stops working.
This is the whole difficulty with cheap Windows: activation is not proof of entitlement. It is proof that the key was accepted, which is a different claim and a shorter-lived one.
The digital licence and your hardware
Modern Windows activation attaches to a hardware fingerprint as well as to the key, and it can also link to a Microsoft account. Once linked, reinstalling on the same machine usually reactivates with no key at all.
Changing the motherboard is the change that breaks it. A retail licence can be reactivated afterwards, sometimes through the automated troubleshooter and sometimes only by talking to support. An OEM licence is not intended to survive that transition at all. If you are building a PC you expect to upgrade in pieces, that difference is worth the retail premium; if you are reviving one old laptop, it is not.
Link the licence to a Microsoft account while it is working. It costs nothing and it turns a future reactivation from an argument into a sign-in.
Clean installs and the media you need
Microsoft publishes a tool that writes a bootable Windows installer to a USB stick, free and without a licence. That is worth knowing separately from buying a key: the media is not the licence, and you never need to pay for a download.
On a machine with a digital licence already attached, a clean reinstall usually reactivates by itself once it is online — there is nothing to type. The prompt for a product key during setup can be skipped in that case, and Windows sorts itself out afterwards.
Where you are moving a retail licence to a new machine, remove it from the old one first. Running the same retail key on two live installations is the situation activation is designed to refuse, and untangling it afterwards means a support conversation you can avoid by doing the steps in order. Keeping a note of which key is on which machine sounds fussy until the third PC in a household needs reinstalling and nobody can remember.
Reading a Windows listing honestly
Look for the words retail or OEM, explicitly. Look for whether it is a key or an account. Some listings sell access to an account holding a licence rather than a key of your own, and that is not a purchase you control.
"Lifetime activation" is marketing rather than a licence term. A consumer Windows licence is perpetual for the machine it is entitled to — the subscription-based licensing Microsoft sells to organisations is a different product you are not being offered here — so the phrase adds nothing except when it is being used to paper over what kind of key it is.
If the price is a small fraction of retail, the licence is coming from a channel not intended for you. That is a risk you can take knowingly — plenty of people do, and it often works for years — but it should be a decision rather than a surprise.
If activation fails or lapses
An unactivated Windows keeps working. It nags, it disables personalisation settings, and it is not a machine that stops at the door — so a licence that lapses is an annoyance to fix rather than an emergency.
Start with Settings, System, Activation and the built-in troubleshooter, which handles hardware-change cases on its own more often than people expect. If the key is rejected outright, take it to the store with the error text while the refund window is open. If it activated and later failed, you have learned what kind of key it was.