For many years, I enjoyed living with my dogs, Tilly and Chance. Their companionship was nearly enough to keep my loneliness at bay. Nearly. Last year, I started dating, but with reservations. When I first dated Steve, I learned he had a dog, Molly, and a cat, Flora. While I was thrilled that he was an animal lover, I worried that three dogs were perhaps too many, and my dogs might attack Flora, the cat.

上面的文段摘自2022年高考英语全国甲卷（全国卷Ⅱ）的完形填空。请问with reservations是什么意思？