Absolutely! Both Dubai and Abu Dhabi are quintessential Arabian destinations while Ajman is a hidden gem. Here's what you need to know:

Best Time to Visit:
The ideal time to visit these United Arab Emirates cities is between October and April when the weather is cooler. Summers can be extremely hot.

Route and Accessibility:
All three cities are well-connected through roads. From Dubai, you can reach Abu Dhabi in about 1.5 hours by car or bus. Ajman is only 30 minutes away from Dubai. Public transport like Buses, taxis, and metros are readily available.

Altitude and Acclimatization:
These places are located near sea level, so altitude sickness is not an issue you'll encounter.

Accommodation and Booking:
Accommodation ranges from budget hotels to luxury resorts. Book in advance especially during peak tourist season or during special events like the Dubai Shopping Festival.

Clothing and Essentials:
Respect the local customs and dress modestly, especially when visiting religious and cultural sites. Always carry a hat, sunglasses, and sunscreen to protect yourself from the sun.

Health and Safety:
Follow the local law and customs. Drinking and driving is strictly prohibited. Also, avoid consuming alcohol in public places, apart from licensed venues. Maintain a decent level of travel insurance that covers health.

Local Etiquette and Respect:
Emiratis greatly value politeness and hospitality, greet people with a polite "As-salam alaykum" (Peace be upon you). Also, public display of affection should be minimal.

Also, you might want to learn a bit of basic Arabic, as it is the official language. But with the high level of expat population, English is widely spoken too.