While there are many, many hotels in Panama City, sometimes you just want a personal reference.  Here are some hotels that I think you may like.

Hotel Marriott - Nice hotel next to new mall with food court and good shopping.

Plaza Paitilla Inn - Near shopping malls and Bay of Panama.

Sevilla Suites - Located in the heart of the commercial and financial center.

Riande - Near the international airport - not very close to city.

Hotel Via Espana - Only 20 minutes from the Tocumen International Airport.

Las Vegas Hotel Suites - Basic but well located and affordable.

Hotel Milan - Very popular hotel with residents visiting the city.

Golden Frog  is a local company specializing in private transportation in and
around Panama City.  Jose Saenz has years of experience in the transport and tourist industry.  Private tours, translation and interpretation services by licensed professionals, personal tour guides and relocation services.  

http://www.goldenfrog.net/

The vehicles are comfortable and well maintained and fully insured. The professional drivers speak English and Spanish and offer reliable service in top quality vehicles.

There are many airlines now that fly to Panama City, Panama.  You can leave from major cities in North America and Europe.  Some of the most popular cities are Miami, Orlando, Houston, Newark, New York, Washington DC, Dallas, Atlanta and Los Angeles.

All visitors require a valid passport and an onward/return ticket.

Additional requirements vary according to nationality and are subject to change. You are recommended to check with a Panamanian Consulate or Embassy or ticketing agents for airlines that fly to Panama to obtain the most updated information.

Panama’s national airline COPA flies to most major cities in the USA in alliance with Continental Airlines. You will also find good fares with Delta, American Airlines, and Continental.

COPA Airlines

Getting around locally by air is easy.

Air Panama

I always recommend that if you really want to see the area you should rent a car during your stay.  There are many taxis around Boquete but they do not offer you the leisurely view of the areas that one would appreciate if evaluating the area for a potential new home.

Here are some rental car sites to consider:

Thrifty Car Rental - David

National Car Rental

Hertz

I also recommend that you purchase the insurance that is offered for both liability and physical damage.  Any insurance that you may normally use in your home country may not work the same here and if there is an accident you want to be sure you are fully covered.