Traveling from US to London and Scotland with a handful of prescription pain killers. Any advice on the process?

I’m planning a trip from the US to London and Scotland and will be bringing a few prescription painkillers with me. Does anyone have any tips or advice on the process?
Traveling with prescription medications requires some careful planning, especially when traveling internationally. Here are a few tips for bringing your prescription painkillers from the US to London and Scotland:
Carry a Copy of the Prescription: Bring a copy of your prescription and any relevant medical documentation. This can help explain why you have the medication if questioned by customs or security.
Check Local Laws: Research the laws regarding bringing prescription medications into the UK. Some medications that are legal in the US may be considered controlled substances in the UK.
Original Packaging: Keep your medications in their original prescription bottles with your name clearly labeled on them. This helps establish that the medication is prescribed to you.
Quantity: Bring only the amount of medication you will need for your trip. Carrying excessive quantities can raise suspicions.
Declare When Necessary: When passing through customs, declare your prescription medications if required. It’s better to be upfront than to be questioned later.
Over-the-Counter Alternatives: Research over-the-counter pain relief options available in the UK, just in case you run out of your prescription.
Contact Your Airline: Check with your airline for any specific regulations regarding traveling with medications. Some may require prior notification.
Stay Informed: Before you travel, check the UK government’s official website or a reliable resource for the latest travel advice regarding medications.
Keep Medications Accessible: Keep your medications in your carry-on bag in case you need them during the flight.
Plan for Time Zones: Consider how you’ll handle time zone changes with your medication schedule.
By being prepared and informed, you can have a smooth travel experience with your medications. Safe travels!