Absolutely! These cities in Slovakia will give you a wealth of cultural and natural beauty to explore. Here are some travel tips to make your journey hassle-free:

Best Time to Visit:
The ideal time to visit these Slovakian cities is from May to September. during this time, the weather is quite pleasant allowing sightseeing and outdoor activities. Winter can also be considered if you're interested in winter sports.

Route and Accessibility:
From Bratislava, the capital of Slovakia, you can take a train or a bus to all these places. Nitra is the closest from Bratislava, followed by Banská Bystrica, Martin, and then Poprad. There are regular train and bus services connecting these cities.

Altitude and Acclimatization:
These destinations are at moderate altitudes, therefore, acclimatization should not be a significant issue. Yet, it's always good to stay hydrated and take rest if you feel tired.

Accommodation and Booking:
Book your accommodations in advance to avoid last-minute hassles, as these cities receive substantial tourist traffic. All these cities offer a range of accommodations from budget to luxury.

Clothing and Essentials:
Pack according to the season. Winters can be harsh, so warm, layered clothing is recommended. Summers are mild but can be rainy, so an umbrella or light raincoat is handy. Good walking shoes are a must as these cities have beautiful pedestrian areas to explore.

Health and Safety:
Ensure to carry your regular medications, if any, as well as basic first aid kit. Always have travel insurance for unforeseen events.

Local Etiquette and Respect:
Slovakians are known for their hospitality. However, respecting local customs and dress code is always advisable. Learn a few basic Slovak phrases as English might not be widely spoken outside of the major cities.

And lastly, remember to try the local cuisine!