Can someone recommend a car service or shuttle to take us from the airport in Budapest to our hotel - Novotel Centrum on the Pest side. Thanks

Have you asked your hotel for a recommendation?

You might think of using google. I hear it's the latest thing.

I used Alajos Pulai: [email protected].
Reliable and speaks very good English.

Another recommendation for Alajos Pulai, we just used him a couple of weeks ago in Budapest and also spent a day with him at Lake Balaton. See my recent trip report.

Why not take a taxi?
The official taxi company "Fötaxi" has booths outside the arrivals exits at the official taxi ranks, and the fares are fixed (€21-24, depending where in Budapest your destination is, and you can pay with CC).
Just never ever let any driver approach you in the arrivals hall. They look very "official", but just rip you off.
No other taxi company but Fötaxi is licensed to pick up passengers at the airport.

Thank you for your replies. I emailed Mr. Pulai, but may just go with Fo taxi. Can they pick you up at the hotel for the return to the airport or is there another company to use?

You can get a slight reduction in fare if you book a round trip with Alajos. In addition his wife is an excellent massueuse if you are interested having massages in Budapest.

Yes, Fötaxi can also pick you up at the hotel. Just tell the concierge that you want one of their cars.
The fixed fee does only apply for trips from the airport. Back to airport, the meter will be running, but you should not pay much more or less than on your way into town.