Of course, here are some key tips for your travel across the UK -

1. Best Time to Visit:
The ideal time to visit these cities in the UK is typically during the late spring (April to June) when temperatures are mild. Autumn (September to November) is also a great time as the scenery is beautiful. Summer (July and August) can also be pleasant, but be prepared for occasional rainfall.

2. Route and Accessibility:
To travel between these cities, you'll find great train services that are reliable and comfortable. There are also various bus services that are relatively cheaper. Major cities like London and Manchester also have international airports, so plan accordingly.

3. Accommodation and Booking:
Book your accommodations in advance to get good deals. Accommodation in these cities can vary from luxurious hotels to budget hostels. You can also find several Bed & Breakfasts or rent a serviced apartment for a homely experience.

4. Clothing and Essentials:
Carry an umbrella/raincoat as rain can be unpredictable. Dress in layers as weather can change quickly. Remember to pack comfortable shoes as these cities are best explored by foot.

5. Health and Safety:
The UK is generally safe but always practice standard precautions. Keep emergency numbers handy. NHS healthcare is excellent, should you need any medical attention.

6. Local Etiquette and Respect:
People in the UK are generally polite and reserved. Queuing and punctuality are important aspects of British etiquette. Do not forget to thank the bus driver while getting off the bus.

7. Altitude and Acclimatization:
These cities are not at high altitudes, so acclimatization is not a concern. But, do take it slow for the first few days backed by plenty of rest to counter the effects of jet lag.

Enjoy your trip and make the most of your experiences in these vibrant cities.