I am a solo Sr traveler coming into Osaka early evening. I need a recommendation for a private transfer to hotel in Kita Ward .
Thank you

Have you checked with your hotel? Or tried rome2rio.com? You might also see if japan-guide.com has information that would help.

Limousine Service | Osaka MK Taxi

Kansai International Airport Transfers - Private Car, Taxi & Limo Services - Klook

Kita-ku is where the main railway and bus stations are located. It is better known as Umeda: Kita (Umeda) - Osaka Travel

Which hotel?

A less expensive option is to take the limo bus which stops at several hotels. It is really easy to use because there are signs in English.

Click on the "Osaka Sta." link here: Bus Stop Info | [Official] Kansai International Airport Limousine Bus/ Time Table/ Bus Stop/ Fare/ Route List (Kansai Airport Transportation Enterprise)

See if your hotel is one of the stops. If not, you could get a taxi from the bus station to your hotel. You could get off at one of the hotels and then get a taxi from the taxi stand. Or maybe a short walk from a stop.

Oh, you are arriving on a cruise ship? You can use the earlier links I gave above for a car service. But, does you cruise line have info?