Sure, let me provide you with some travel tips for your visit to Modra, Pezinok, Stará Turá, and Nový Smokovec.

Best Time to Visit:
Slovakia has a temperate and continental climate with relatively warm summers and cold, snowy winters. The ideal time to visit these places is during April through June and then September through October. For winter attractions, the best time is December to March.

Route and Accessibility:
If you are starting your journey from the capital city Bratislava, you can head to Modra, which is about 25 km. Pezinok is just 17 km from Modra. From Pezinok, you can head to Stará Turá located about 70 km away. Finally, you can travel to Nový Smokovec, which is around 250 km from Stará Turá. The connectivity is quite good with well-maintained roads and train routes.

Altitude and Acclimatization:
The altitude of these places isn't much high, with Modra, Pezinok, and Stará Turá located in the lowlands and Nový Smokovec in the High Tatras. Acclimatization won't be an issue here.

Accommodation and Booking:
Accommodation in these towns varies from luxury hotels to budget hostels. It would be best to book your stay in advance, especially during the peak tourism season.

Clothing and Essentials:
Always take clothing appropriate to the season. Remember waterproof clothing due to the possibility of rain. Good walking shoes are a must for exploring the towns.

Health and Safety:
Carry essential medications and first aid kits. Also, tap water is drinkable in Slovakia, but it's better to drink bottled water if you have a sensitive stomach.

Local Etiquette and Respect:
Slovaks are generally polite and reserved. Respect local traditions. Always ask before taking someone's photograph to respect their privacy. When visiting churches, remember to dress modestly.